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GCF of 226/320, 856/196

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 226/320, 856/196 i.e 2/15680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 226/320, 856/196.

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 226/320,856/196?

Given fractions are 226/320,856/196

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 226/320,856/196, numerators are 226,856

Denominators are 320,196

The GCF of 226,856 is 2 .

LCM of 320,196 is 15680.

The greatest common factor of 226/320,856/196 = [GCF of 226,856]/[LCM of 320,196]= 2/15680

Therefore, the GCF of 226/320,856/196 is 2/15680.

Greatest Common Factor of 226,856

To find the highest common factor of 226,856, we have to find the factors of both numbers and list the highest common factor.

The factors of 226 are 1, 2, 113, 226

The factors of 856 are 1, 2, 4, 8, 107, 214, 428, 856

The HCF of 226,856 is 2.

Lets's calculate GCF of 226,856

Greatest Common Factor (GCF) of 226,856 By Common Division

2 226, 856
113, 428

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

Greatest Common Factor of 226,856 By Matching Biggest Common Factor Method

Greatest Common Factor of 226,856 By Matching Biggest Common Factor Method

Now, list down the factors of 226

:

1,2,113,226

Now, list down the factors of 856

:

1,2,4,8,107,214,428,856

Greatest Common Factor

We found the factors 226,856 . The biggest common factor number is the GCF number.
So the greatest common factor 226,856 is 2.

Lets's calculate LCM of 320,196

Lowest Common Multiple of 320,196 using Common Division

2 320, 196
2 160, 98
80, 49

∴ So the LCM of the given numbers is 2 x 2 x 80 x 49 = 15680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/15680

Therefore, the GCF of Fractions 226/320,856/196 is 2/15680

Least Common Multiple of 320,196 with GCF Formula

Least Common Multiple of 320,196 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 320,196 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(320,196) = 4

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

GCF(320,196) x common factors =4 x 1 = 4

LCM(320,196) = ( 320 × 196 ) / 4

LCM(320,196) = 62720 / 4

LCM(320,196) = 15680


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FAQs on GCF of Fractions of 226/320, 856/196

1. What is the HCF of 226,856?

The HCF of 226,856 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 226/320, 856/196?

Answer: GCF of Numerators as per given numbers 226/320, 856/196 is

GCF of Numerators i.e. for 226,856 is 2

LCM of denominators i.e. for 320,196 is 15680.

Thus, GCF of Fractions is 2/15680.Finally, GCF of Fractions for 226/320, 856/196 is 2/15680.