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GCF of 891/841, 5896/634

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 891/841, 5896/634 i.e 11/533194 easily. The following is the detailed procedure to determine the greatest common factor of fractions 891/841, 5896/634.

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 891/841,5896/634?

Given fractions are 891/841,5896/634

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 891/841,5896/634, numerators are 891,5896

Denominators are 841,634

The GCF of 891,5896 is 11 .

LCM of 841,634 is 533194.

The greatest common factor of 891/841,5896/634 = [GCF of 891,5896]/[LCM of 841,634]= 11/533194

Therefore, the GCF of 891/841,5896/634 is 11/533194.

Greatest Common Factor of 891,5896

To find the highest common factor of 891,5896, we have to find the factors of both numbers and list the highest common factor.

The factors of 891 are 1, 3, 9, 11, 27, 33, 81, 99, 297, 891

The factors of 5896 are 1, 2, 4, 8, 11, 22, 44, 67, 88, 134, 268, 536, 737, 1474, 2948, 5896

The HCF of 891,5896 is 11.

Lets's calculate GCF of 891,5896

Greatest Common Factor (GCF) of 891,5896 By Common Division

11 891, 5896
81, 536

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 891,5896 By Matching Biggest Common Factor Method

Greatest Common Factor of 891,5896 By Matching Biggest Common Factor Method

Now, list down the factors of 891

:

1,3,9,11,27,33,81,99,297,891

Now, list down the factors of 5896

:

1,2,4,8,11,22,44,67,88,134,268,536,737,1474,2948,5896

Greatest Common Factor

We found the factors 891,5896 . The biggest common factor number is the GCF number.
So the greatest common factor 891,5896 is 11.


Lets's calculate LCM of 841,634

Lowest Common Multiple of 841,634 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 533194

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/533194

Therefore, the GCF of Fractions 891/841,5896/634 is 11/533194

Least Common Multiple of 841,634 with GCF Formula

Least Common Multiple of 841,634 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 841,634 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(841,634) = 1

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

GCF(841,634) x common factors =1 x 1 = 1

LCM(841,634) = ( 841 × 634 ) / 1

LCM(841,634) = 533194 / 1

LCM(841,634) = 533194


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 891/841, 5896/634

1. What is the HCF of 891,5896?

The HCF of 891,5896 is 11

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 891/841, 5896/634?

Answer: GCF of Numerators as per given numbers 891/841, 5896/634 is

GCF of Numerators i.e. for 891,5896 is 11

LCM of denominators i.e. for 841,634 is 533194.

Thus, GCF of Fractions is 11/533194.Finally, GCF of Fractions for 891/841, 5896/634 is 11/533194.