How to Find GCF of 9854/520, 1676/2056?

GCF of 9854/520, 1676/2056

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 9854/520, 1676/2056 i.e 2/133640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9854/520, 1676/2056.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 9854/520,1676/2056?

Given fractions are 9854/520,1676/2056

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 9854/520,1676/2056, numerators are 9854,1676

Denominators are 520,2056

The GCF of 9854,1676 is 2 .

LCM of 520,2056 is 133640.

The greatest common factor of 9854/520,1676/2056 = [GCF of 9854,1676]/[LCM of 520,2056]= 2/133640

Therefore, the GCF of 9854/520,1676/2056 is 2/133640.

Greatest Common Factor of 9854,1676

To find the highest common factor of 9854,1676, we have to find the factors of both numbers and list the highest common factor.

The factors of 9854 are 1, 2, 13, 26, 379, 758, 4927, 9854

The factors of 1676 are 1, 2, 4, 419, 838, 1676

The HCF of 9854,1676 is 2.

Lets's calculate GCF of 9854,1676

Greatest Common Factor (GCF) of 9854,1676 By Common Division

2	9854, 1676
	4927, 838

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

Greatest Common Factor of 9854,1676 By Matching Biggest Common Factor Method

Now, list down the factors of 9854

1,2,13,26,379,758,4927,9854

Now, list down the factors of 1676

1,2,4,419,838,1676

Greatest Common Factor

We found the factors 9854,1676 . The biggest common factor number is the GCF number.
So the greatest common factor 9854,1676 is 2.

Lets's calculate LCM of 520,2056

Lowest Common Multiple of 520,2056 using Common Division

2	520, 2056
2	260, 1028
2	130, 514
	65, 257

∴ So the LCM of the given numbers is 2 x 2 x 2 x 65 x 257 = 133640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/133640

Therefore, the GCF of Fractions 9854/520,1676/2056 is 2/133640

Least Common Multiple of 520,2056 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 520,2056 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(520,2056) = 8

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

GCF(520,2056) x common factors =8 x 1 = 8

LCM(520,2056) = ( 520 × 2056 ) / 8

LCM(520,2056) = 1069120 / 8

LCM(520,2056) = 133640

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9854/520, 1676/2056

1. What is the HCF of 9854,1676?

The HCF of 9854,1676 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 9854/520, 1676/2056?

Answer: GCF of Numerators as per given numbers 9854/520, 1676/2056 is

GCF of Numerators i.e. for 9854,1676 is 2

LCM of denominators i.e. for 520,2056 is 133640.

Thus, GCF of Fractions is 2/133640.Finally, GCF of Fractions for 9854/520, 1676/2056 is 2/133640.