LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 771/705, 509/315

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 771/705, 509/315 i.e 1/14805 easily. The following is the detailed procedure to determine the greatest common factor of fractions 771/705, 509/315.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 771/705,509/315?

Given fractions are 771/705,509/315

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 771/705,509/315, numerators are 771,509

Denominators are 705,315

The GCF of 771,509 is 1 .

LCM of 705,315 is 14805.

The greatest common factor of 771/705,509/315 = [GCF of 771,509]/[LCM of 705,315]= 1/14805

Therefore, the GCF of 771/705,509/315 is 1/14805.

Greatest Common Factor of 771,509

To find the highest common factor of 771,509, we have to find the factors of both numbers and list the highest common factor.

The factors of 771 are 1, 3, 257, 771

The factors of 509 are 1, 509

The HCF of 771,509 is 1.

Lets's calculate GCF of 771,509

Greatest Common Factor (GCF) of 771,509 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 771,509 By Matching Biggest Common Factor Method

Greatest Common Factor of 771,509 By Matching Biggest Common Factor Method

Now, list down the factors of 771

:

1,3,257,771

Now, list down the factors of 509

:

1,509

Greatest Common Factor

We found the factors 771,509 . The biggest common factor number is the GCF number.
So the greatest common factor 771,509 is 1.

Lets's calculate LCM of 705,315

Lowest Common Multiple of 705,315 using Common Division

3 705, 315
5 235, 105
47, 21

∴ So the LCM of the given numbers is 3 x 5 x 47 x 21 = 14805

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14805

Therefore, the GCF of Fractions 771/705,509/315 is 1/14805

Least Common Multiple of 705,315 with GCF Formula

Least Common Multiple of 705,315 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 705,315 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(705,315) = 15

common factors(in case of two or more numbers have common factors) = 1

GCF(705,315) x common factors =15 x 1 = 15

LCM(705,315) = ( 705 × 315 ) / 15

LCM(705,315) = 222075 / 15

LCM(705,315) = 14805


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 771/705, 509/315

1. What is the HCF of 771,509?

The HCF of 771,509 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 771/705, 509/315?

Answer: GCF of Numerators as per given numbers 771/705, 509/315 is

GCF of Numerators i.e. for 771,509 is 1

LCM of denominators i.e. for 705,315 is 14805.

Thus, GCF of Fractions is 1/14805.Finally, GCF of Fractions for 771/705, 509/315 is 1/14805.