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GCF of 715/43, 495/699

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 715/43, 495/699 i.e 55/30057 easily. The following is the detailed procedure to determine the greatest common factor of fractions 715/43, 495/699.

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 715/43,495/699?

Given fractions are 715/43,495/699

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 715/43,495/699, numerators are 715,495

Denominators are 43,699

The GCF of 715,495 is 55 .

LCM of 43,699 is 30057.

The greatest common factor of 715/43,495/699 = [GCF of 715,495]/[LCM of 43,699]= 55/30057

Therefore, the GCF of 715/43,495/699 is 55/30057.

Greatest Common Factor of 715,495

To find the highest common factor of 715,495, we have to find the factors of both numbers and list the highest common factor.

The factors of 715 are 1, 5, 11, 13, 55, 65, 143, 715

The factors of 495 are 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

The HCF of 715,495 is 55.

Lets's calculate GCF of 715,495

Greatest Common Factor (GCF) of 715,495 By Common Division

5 715, 495
11 143, 99
13, 9

∴ So the GCF of the given numbers is 5 x 11 = 55

Greatest Common Factor of 715,495 By Matching Biggest Common Factor Method

Greatest Common Factor of 715,495 By Matching Biggest Common Factor Method

Now, list down the factors of 715

:

1,5,11,13,55,65,143,715

Now, list down the factors of 495

:

1,3,5,9,11,15,33,45,55,99,165,495

Greatest Common Factor

We found the factors 715,495 . The biggest common factor number is the GCF number.
So the greatest common factor 715,495 is 55.


Lets's calculate LCM of 43,699

Lowest Common Multiple of 43,699 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 30057

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 55/30057

Therefore, the GCF of Fractions 715/43,495/699 is 55/30057

Least Common Multiple of 43,699 with GCF Formula

Least Common Multiple of 43,699 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 43,699 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,699) = 1

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

GCF(43,699) x common factors =1 x 1 = 1

LCM(43,699) = ( 43 × 699 ) / 1

LCM(43,699) = 30057 / 1

LCM(43,699) = 30057


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 715/43, 495/699

1. What is the HCF of 715,495?

The HCF of 715,495 is 55

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 715/43, 495/699?

Answer: GCF of Numerators as per given numbers 715/43, 495/699 is

GCF of Numerators i.e. for 715,495 is 55

LCM of denominators i.e. for 43,699 is 30057.

Thus, GCF of Fractions is 55/30057.Finally, GCF of Fractions for 715/43, 495/699 is 55/30057.