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GCF of 877/728, 827/188

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 877/728, 827/188 i.e 1/34216 easily. The following is the detailed procedure to determine the greatest common factor of fractions 877/728, 827/188.

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 877/728,827/188?

Given fractions are 877/728,827/188

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 877/728,827/188, numerators are 877,827

Denominators are 728,188

The GCF of 877,827 is 1 .

LCM of 728,188 is 34216.

The greatest common factor of 877/728,827/188 = [GCF of 877,827]/[LCM of 728,188]= 1/34216

Therefore, the GCF of 877/728,827/188 is 1/34216.

Greatest Common Factor of 877,827

To find the highest common factor of 877,827, we have to find the factors of both numbers and list the highest common factor.

The factors of 877 are 1, 877

The factors of 827 are 1, 827

The HCF of 877,827 is 1.

Lets's calculate GCF of 877,827

Greatest Common Factor (GCF) of 877,827 By Common Division

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

Greatest Common Factor of 877,827 By Matching Biggest Common Factor Method

Greatest Common Factor of 877,827 By Matching Biggest Common Factor Method

Now, list down the factors of 877

:

1,877

Now, list down the factors of 827

:

1,827

Greatest Common Factor

We found the factors 877,827 . The biggest common factor number is the GCF number.
So the greatest common factor 877,827 is 1.

Lets's calculate LCM of 728,188

Lowest Common Multiple of 728,188 using Common Division

2 728, 188
2 364, 94
182, 47

∴ So the LCM of the given numbers is 2 x 2 x 182 x 47 = 34216

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34216

Therefore, the GCF of Fractions 877/728,827/188 is 1/34216

Least Common Multiple of 728,188 with GCF Formula

Least Common Multiple of 728,188 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 728,188 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(728,188) = 4

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

GCF(728,188) x common factors =4 x 1 = 4

LCM(728,188) = ( 728 × 188 ) / 4

LCM(728,188) = 136864 / 4

LCM(728,188) = 34216


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FAQs on GCF of Fractions of 877/728, 827/188

1. What is the HCF of 877,827?

The HCF of 877,827 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 877/728, 827/188?

Answer: GCF of Numerators as per given numbers 877/728, 827/188 is

GCF of Numerators i.e. for 877,827 is 1

LCM of denominators i.e. for 728,188 is 34216.

Thus, GCF of Fractions is 1/34216.Finally, GCF of Fractions for 877/728, 827/188 is 1/34216.