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GCF of 846/228, 382/938

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 846/228, 382/938 i.e 2/106932 easily. The following is the detailed procedure to determine the greatest common factor of fractions 846/228, 382/938.

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 846/228,382/938?

Given fractions are 846/228,382/938

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 846/228,382/938, numerators are 846,382

Denominators are 228,938

The GCF of 846,382 is 2 .

LCM of 228,938 is 106932.

The greatest common factor of 846/228,382/938 = [GCF of 846,382]/[LCM of 228,938]= 2/106932

Therefore, the GCF of 846/228,382/938 is 2/106932.

Greatest Common Factor of 846,382

To find the highest common factor of 846,382, we have to find the factors of both numbers and list the highest common factor.

The factors of 846 are 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

The factors of 382 are 1, 2, 191, 382

The HCF of 846,382 is 2.

Lets's calculate GCF of 846,382

Greatest Common Factor (GCF) of 846,382 By Common Division

2 846, 382
423, 191

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

Greatest Common Factor of 846,382 By Matching Biggest Common Factor Method

Greatest Common Factor of 846,382 By Matching Biggest Common Factor Method

Now, list down the factors of 846

:

1,2,3,6,9,18,47,94,141,282,423,846

Now, list down the factors of 382

:

1,2,191,382

Greatest Common Factor

We found the factors 846,382 . The biggest common factor number is the GCF number.
So the greatest common factor 846,382 is 2.

Lets's calculate LCM of 228,938

Lowest Common Multiple of 228,938 using Common Division

2 228, 938
114, 469

∴ So the LCM of the given numbers is 2 x 114 x 469 = 106932

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/106932

Therefore, the GCF of Fractions 846/228,382/938 is 2/106932

Least Common Multiple of 228,938 with GCF Formula

Least Common Multiple of 228,938 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 228,938 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(228,938) = 2

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

GCF(228,938) x common factors =2 x 1 = 2

LCM(228,938) = ( 228 × 938 ) / 2

LCM(228,938) = 213864 / 2

LCM(228,938) = 106932


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FAQs on GCF of Fractions of 846/228, 382/938

1. What is the HCF of 846,382?

The HCF of 846,382 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 846/228, 382/938?

Answer: GCF of Numerators as per given numbers 846/228, 382/938 is

GCF of Numerators i.e. for 846,382 is 2

LCM of denominators i.e. for 228,938 is 106932.

Thus, GCF of Fractions is 2/106932.Finally, GCF of Fractions for 846/228, 382/938 is 2/106932.