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GCF of 878/76, 266/500

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 878/76, 266/500 i.e 2/9500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 878/76, 266/500.

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 878/76,266/500?

Given fractions are 878/76,266/500

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 878/76,266/500, numerators are 878,266

Denominators are 76,500

The GCF of 878,266 is 2 .

LCM of 76,500 is 9500.

The greatest common factor of 878/76,266/500 = [GCF of 878,266]/[LCM of 76,500]= 2/9500

Therefore, the GCF of 878/76,266/500 is 2/9500.

Greatest Common Factor of 878,266

To find the highest common factor of 878,266, we have to find the factors of both numbers and list the highest common factor.

The factors of 878 are 1, 2, 439, 878

The factors of 266 are 1, 2, 7, 14, 19, 38, 133, 266

The HCF of 878,266 is 2.

Lets's calculate GCF of 878,266

Greatest Common Factor (GCF) of 878,266 By Common Division

2 878, 266
439, 133

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

Greatest Common Factor of 878,266 By Matching Biggest Common Factor Method

Greatest Common Factor of 878,266 By Matching Biggest Common Factor Method

Now, list down the factors of 878

:

1,2,439,878

Now, list down the factors of 266

:

1,2,7,14,19,38,133,266

Greatest Common Factor

We found the factors 878,266 . The biggest common factor number is the GCF number.
So the greatest common factor 878,266 is 2.

Lets's calculate LCM of 76,500

Lowest Common Multiple of 76,500 using Common Division

2 76, 500
2 38, 250
19, 125

∴ So the LCM of the given numbers is 2 x 2 x 19 x 125 = 9500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9500

Therefore, the GCF of Fractions 878/76,266/500 is 2/9500

Least Common Multiple of 76,500 with GCF Formula

Least Common Multiple of 76,500 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 76,500 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,500) = 4

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

GCF(76,500) x common factors =4 x 1 = 4

LCM(76,500) = ( 76 × 500 ) / 4

LCM(76,500) = 38000 / 4

LCM(76,500) = 9500


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FAQs on GCF of Fractions of 878/76, 266/500

1. What is the HCF of 878,266?

The HCF of 878,266 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 878/76, 266/500?

Answer: GCF of Numerators as per given numbers 878/76, 266/500 is

GCF of Numerators i.e. for 878,266 is 2

LCM of denominators i.e. for 76,500 is 9500.

Thus, GCF of Fractions is 2/9500.Finally, GCF of Fractions for 878/76, 266/500 is 2/9500.