How to Find GCF of 9854/227, 6353/4951?

GCF of 9854/227, 6353/4951

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 9854/227, 6353/4951 i.e 1/1123877 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9854/227, 6353/4951.

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 9854/227,6353/4951?

Given fractions are 9854/227,6353/4951

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 9854/227,6353/4951, numerators are 9854,6353

Denominators are 227,4951

The GCF of 9854,6353 is 1 .

LCM of 227,4951 is 1123877.

The greatest common factor of 9854/227,6353/4951 = [GCF of 9854,6353]/[LCM of 227,4951]= 1/1123877

Therefore, the GCF of 9854/227,6353/4951 is 1/1123877.

Greatest Common Factor of 9854,6353

To find the highest common factor of 9854,6353, 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 6353 are 1, 6353

The HCF of 9854,6353 is 1.

Lets's calculate GCF of 9854,6353

Greatest Common Factor (GCF) of 9854,6353 By Common Division

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

Greatest Common Factor of 9854,6353 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 6353

1,6353

Greatest Common Factor

We found the factors 9854,6353 . The biggest common factor number is the GCF number.
So the greatest common factor 9854,6353 is 1.

Lets's calculate LCM of 227,4951

Lowest Common Multiple of 227,4951 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1123877

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1123877

Therefore, the GCF of Fractions 9854/227,6353/4951 is 1/1123877

Least Common Multiple of 227,4951 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 227,4951 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(227,4951) = 1

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

GCF(227,4951) x common factors =1 x 1 = 1

LCM(227,4951) = ( 227 × 4951 ) / 1

LCM(227,4951) = 1123877 / 1

LCM(227,4951) = 1123877

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FAQs on GCF of Fractions of 9854/227, 6353/4951

1. What is the HCF of 9854,6353?

The HCF of 9854,6353 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 9854/227, 6353/4951?

Answer: GCF of Numerators as per given numbers 9854/227, 6353/4951 is

GCF of Numerators i.e. for 9854,6353 is 1

LCM of denominators i.e. for 227,4951 is 1123877.

Thus, GCF of Fractions is 1/1123877.Finally, GCF of Fractions for 9854/227, 6353/4951 is 1/1123877.