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GCF of 712/534, 839/706

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 712/534, 839/706 i.e 1/188502 easily. The following is the detailed procedure to determine the greatest common factor of fractions 712/534, 839/706.

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 712/534,839/706?

Given fractions are 712/534,839/706

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 712/534,839/706, numerators are 712,839

Denominators are 534,706

The GCF of 712,839 is 1 .

LCM of 534,706 is 188502.

The greatest common factor of 712/534,839/706 = [GCF of 712,839]/[LCM of 534,706]= 1/188502

Therefore, the GCF of 712/534,839/706 is 1/188502.

Greatest Common Factor of 712,839

To find the highest common factor of 712,839, we have to find the factors of both numbers and list the highest common factor.

The factors of 712 are 1, 2, 4, 8, 89, 178, 356, 712

The factors of 839 are 1, 839

The HCF of 712,839 is 1.

Lets's calculate GCF of 712,839

Greatest Common Factor (GCF) of 712,839 By Common Division

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

Greatest Common Factor of 712,839 By Matching Biggest Common Factor Method

Greatest Common Factor of 712,839 By Matching Biggest Common Factor Method

Now, list down the factors of 712

:

1,2,4,8,89,178,356,712

Now, list down the factors of 839

:

1,839

Greatest Common Factor

We found the factors 712,839 . The biggest common factor number is the GCF number.
So the greatest common factor 712,839 is 1.

Lets's calculate LCM of 534,706

Lowest Common Multiple of 534,706 using Common Division

2 534, 706
267, 353

∴ So the LCM of the given numbers is 2 x 267 x 353 = 188502

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/188502

Therefore, the GCF of Fractions 712/534,839/706 is 1/188502

Least Common Multiple of 534,706 with GCF Formula

Least Common Multiple of 534,706 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 534,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(534,706) = 2

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

GCF(534,706) x common factors =2 x 1 = 2

LCM(534,706) = ( 534 × 706 ) / 2

LCM(534,706) = 377004 / 2

LCM(534,706) = 188502


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FAQs on GCF of Fractions of 712/534, 839/706

1. What is the HCF of 712,839?

The HCF of 712,839 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 712/534, 839/706?

Answer: GCF of Numerators as per given numbers 712/534, 839/706 is

GCF of Numerators i.e. for 712,839 is 1

LCM of denominators i.e. for 534,706 is 188502.

Thus, GCF of Fractions is 1/188502.Finally, GCF of Fractions for 712/534, 839/706 is 1/188502.