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GCF of 767/98, 918/520

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 767/98, 918/520 i.e 1/25480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 767/98, 918/520.

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 767/98,918/520?

Given fractions are 767/98,918/520

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 767/98,918/520, numerators are 767,918

Denominators are 98,520

The GCF of 767,918 is 1 .

LCM of 98,520 is 25480.

The greatest common factor of 767/98,918/520 = [GCF of 767,918]/[LCM of 98,520]= 1/25480

Therefore, the GCF of 767/98,918/520 is 1/25480.

Greatest Common Factor of 767,918

To find the highest common factor of 767,918, we have to find the factors of both numbers and list the highest common factor.

The factors of 767 are 1, 13, 59, 767

The factors of 918 are 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

The HCF of 767,918 is 1.

Lets's calculate GCF of 767,918

Greatest Common Factor (GCF) of 767,918 By Common Division

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

Greatest Common Factor of 767,918 By Matching Biggest Common Factor Method

Greatest Common Factor of 767,918 By Matching Biggest Common Factor Method

Now, list down the factors of 767

:

1,13,59,767

Now, list down the factors of 918

:

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Greatest Common Factor

We found the factors 767,918 . The biggest common factor number is the GCF number.
So the greatest common factor 767,918 is 1.

Lets's calculate LCM of 98,520

Lowest Common Multiple of 98,520 using Common Division

2 98, 520
49, 260

∴ So the LCM of the given numbers is 2 x 49 x 260 = 25480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25480

Therefore, the GCF of Fractions 767/98,918/520 is 1/25480

Least Common Multiple of 98,520 with GCF Formula

Least Common Multiple of 98,520 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 98,520 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,520) = 2

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

GCF(98,520) x common factors =2 x 1 = 2

LCM(98,520) = ( 98 × 520 ) / 2

LCM(98,520) = 50960 / 2

LCM(98,520) = 25480


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 767/98, 918/520

1. What is the HCF of 767,918?

The HCF of 767,918 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 767/98, 918/520?

Answer: GCF of Numerators as per given numbers 767/98, 918/520 is

GCF of Numerators i.e. for 767,918 is 1

LCM of denominators i.e. for 98,520 is 25480.

Thus, GCF of Fractions is 1/25480.Finally, GCF of Fractions for 767/98, 918/520 is 1/25480.