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 754/64, 706/358

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 754/64, 706/358 i.e 2/11456 easily. The following is the detailed procedure to determine the greatest common factor of fractions 754/64, 706/358.

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 754/64,706/358?

Given fractions are 754/64,706/358

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 754/64,706/358, numerators are 754,706

Denominators are 64,358

The GCF of 754,706 is 2 .

LCM of 64,358 is 11456.

The greatest common factor of 754/64,706/358 = [GCF of 754,706]/[LCM of 64,358]= 2/11456

Therefore, the GCF of 754/64,706/358 is 2/11456.

Greatest Common Factor of 754,706

To find the highest common factor of 754,706, we have to find the factors of both numbers and list the highest common factor.

The factors of 754 are 1, 2, 13, 26, 29, 58, 377, 754

The factors of 706 are 1, 2, 353, 706

The HCF of 754,706 is 2.

Lets's calculate GCF of 754,706

Greatest Common Factor (GCF) of 754,706 By Common Division

2 754, 706
377, 353

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 754,706 By Matching Biggest Common Factor Method

Greatest Common Factor of 754,706 By Matching Biggest Common Factor Method

Now, list down the factors of 754

:

1,2,13,26,29,58,377,754

Now, list down the factors of 706

:

1,2,353,706

Greatest Common Factor

We found the factors 754,706 . The biggest common factor number is the GCF number.
So the greatest common factor 754,706 is 2.

Lets's calculate LCM of 64,358

Lowest Common Multiple of 64,358 using Common Division

2 64, 358
32, 179

∴ So the LCM of the given numbers is 2 x 32 x 179 = 11456

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/11456

Therefore, the GCF of Fractions 754/64,706/358 is 2/11456

Least Common Multiple of 64,358 with GCF Formula

Least Common Multiple of 64,358 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 64,358 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,358) = 2

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

GCF(64,358) x common factors =2 x 1 = 2

LCM(64,358) = ( 64 × 358 ) / 2

LCM(64,358) = 22912 / 2

LCM(64,358) = 11456


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 754/64, 706/358

1. What is the HCF of 754,706?

The HCF of 754,706 is 2

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 754/64, 706/358?

Answer: GCF of Numerators as per given numbers 754/64, 706/358 is

GCF of Numerators i.e. for 754,706 is 2

LCM of denominators i.e. for 64,358 is 11456.

Thus, GCF of Fractions is 2/11456.Finally, GCF of Fractions for 754/64, 706/358 is 2/11456.