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GCF of 877/870, 286/234

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 877/870, 286/234 i.e 1/33930 easily. The following is the detailed procedure to determine the greatest common factor of fractions 877/870, 286/234.

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 877/870,286/234?

Given fractions are 877/870,286/234

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 877/870,286/234, numerators are 877,286

Denominators are 870,234

The GCF of 877,286 is 1 .

LCM of 870,234 is 33930.

The greatest common factor of 877/870,286/234 = [GCF of 877,286]/[LCM of 870,234]= 1/33930

Therefore, the GCF of 877/870,286/234 is 1/33930.

Greatest Common Factor of 877,286

To find the highest common factor of 877,286, 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 286 are 1, 2, 11, 13, 22, 26, 143, 286

The HCF of 877,286 is 1.

Lets's calculate GCF of 877,286

Greatest Common Factor (GCF) of 877,286 By Common Division

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

Greatest Common Factor of 877,286 By Matching Biggest Common Factor Method

Greatest Common Factor of 877,286 By Matching Biggest Common Factor Method

Now, list down the factors of 877

:

1,877

Now, list down the factors of 286

:

1,2,11,13,22,26,143,286

Greatest Common Factor

We found the factors 877,286 . The biggest common factor number is the GCF number.
So the greatest common factor 877,286 is 1.

Lets's calculate LCM of 870,234

Lowest Common Multiple of 870,234 using Common Division

2 870, 234
3 435, 117
145, 39

∴ So the LCM of the given numbers is 2 x 3 x 145 x 39 = 33930

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33930

Therefore, the GCF of Fractions 877/870,286/234 is 1/33930

Least Common Multiple of 870,234 with GCF Formula

Least Common Multiple of 870,234 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 870,234 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(870,234) = 6

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

GCF(870,234) x common factors =6 x 1 = 6

LCM(870,234) = ( 870 × 234 ) / 6

LCM(870,234) = 203580 / 6

LCM(870,234) = 33930


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FAQs on GCF of Fractions of 877/870, 286/234

1. What is the HCF of 877,286?

The HCF of 877,286 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 877/870, 286/234?

Answer: GCF of Numerators as per given numbers 877/870, 286/234 is

GCF of Numerators i.e. for 877,286 is 1

LCM of denominators i.e. for 870,234 is 33930.

Thus, GCF of Fractions is 1/33930.Finally, GCF of Fractions for 877/870, 286/234 is 1/33930.