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GCF of 103/206, 522/456

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 103/206, 522/456 i.e 1/46968 easily. The following is the detailed procedure to determine the greatest common factor of fractions 103/206, 522/456.

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 103/206,522/456?

Given fractions are 103/206,522/456

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 103/206,522/456, numerators are 103,522

Denominators are 206,456

The GCF of 103,522 is 1 .

LCM of 206,456 is 46968.

The greatest common factor of 103/206,522/456 = [GCF of 103,522]/[LCM of 206,456]= 1/46968

Therefore, the GCF of 103/206,522/456 is 1/46968.

Greatest Common Factor of 103,522

To find the highest common factor of 103,522, we have to find the factors of both numbers and list the highest common factor.

The factors of 103 are 1, 103

The factors of 522 are 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

The HCF of 103,522 is 1.

Lets's calculate GCF of 103,522

Greatest Common Factor (GCF) of 103,522 By Common Division

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

Greatest Common Factor of 103,522 By Matching Biggest Common Factor Method

Greatest Common Factor of 103,522 By Matching Biggest Common Factor Method

Now, list down the factors of 103

:

1,103

Now, list down the factors of 522

:

1,2,3,6,9,18,29,58,87,174,261,522

Greatest Common Factor

We found the factors 103,522 . The biggest common factor number is the GCF number.
So the greatest common factor 103,522 is 1.

Lets's calculate LCM of 206,456

Lowest Common Multiple of 206,456 using Common Division

2 206, 456
103, 228

∴ So the LCM of the given numbers is 2 x 103 x 228 = 46968

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/46968

Therefore, the GCF of Fractions 103/206,522/456 is 1/46968

Least Common Multiple of 206,456 with GCF Formula

Least Common Multiple of 206,456 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 206,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(206,456) = 2

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

GCF(206,456) x common factors =2 x 1 = 2

LCM(206,456) = ( 206 × 456 ) / 2

LCM(206,456) = 93936 / 2

LCM(206,456) = 46968


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FAQs on GCF of Fractions of 103/206, 522/456

1. What is the HCF of 103,522?

The HCF of 103,522 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 103/206, 522/456?

Answer: GCF of Numerators as per given numbers 103/206, 522/456 is

GCF of Numerators i.e. for 103,522 is 1

LCM of denominators i.e. for 206,456 is 46968.

Thus, GCF of Fractions is 1/46968.Finally, GCF of Fractions for 103/206, 522/456 is 1/46968.