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GCF of 592/208, 907/767

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 592/208, 907/767 i.e 1/12272 easily. The following is the detailed procedure to determine the greatest common factor of fractions 592/208, 907/767.

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 592/208,907/767?

Given fractions are 592/208,907/767

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 592/208,907/767, numerators are 592,907

Denominators are 208,767

The GCF of 592,907 is 1 .

LCM of 208,767 is 12272.

The greatest common factor of 592/208,907/767 = [GCF of 592,907]/[LCM of 208,767]= 1/12272

Therefore, the GCF of 592/208,907/767 is 1/12272.

Greatest Common Factor of 592,907

To find the highest common factor of 592,907, we have to find the factors of both numbers and list the highest common factor.

The factors of 592 are 1, 2, 4, 8, 16, 37, 74, 148, 296, 592

The factors of 907 are 1, 907

The HCF of 592,907 is 1.

Lets's calculate GCF of 592,907

Greatest Common Factor (GCF) of 592,907 By Common Division

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

Greatest Common Factor of 592,907 By Matching Biggest Common Factor Method

Greatest Common Factor of 592,907 By Matching Biggest Common Factor Method

Now, list down the factors of 592

:

1,2,4,8,16,37,74,148,296,592

Now, list down the factors of 907

:

1,907

Greatest Common Factor

We found the factors 592,907 . The biggest common factor number is the GCF number.
So the greatest common factor 592,907 is 1.

Lets's calculate LCM of 208,767

Lowest Common Multiple of 208,767 using Common Division

13 208, 767
16, 59

∴ So the LCM of the given numbers is 13 x 16 x 59 = 12272

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12272

Therefore, the GCF of Fractions 592/208,907/767 is 1/12272

Least Common Multiple of 208,767 with GCF Formula

Least Common Multiple of 208,767 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 208,767 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(208,767) = 13

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

GCF(208,767) x common factors =13 x 1 = 13

LCM(208,767) = ( 208 × 767 ) / 13

LCM(208,767) = 159536 / 13

LCM(208,767) = 12272


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FAQs on GCF of Fractions of 592/208, 907/767

1. What is the HCF of 592,907?

The HCF of 592,907 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 592/208, 907/767?

Answer: GCF of Numerators as per given numbers 592/208, 907/767 is

GCF of Numerators i.e. for 592,907 is 1

LCM of denominators i.e. for 208,767 is 12272.

Thus, GCF of Fractions is 1/12272.Finally, GCF of Fractions for 592/208, 907/767 is 1/12272.