How to Find GCF of 9425/890, 4639/6139?

GCF of 9425/890, 4639/6139

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 9425/890, 4639/6139 i.e 1/5463710 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9425/890, 4639/6139.

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 9425/890,4639/6139?

Given fractions are 9425/890,4639/6139

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 9425/890,4639/6139, numerators are 9425,4639

Denominators are 890,6139

The GCF of 9425,4639 is 1 .

LCM of 890,6139 is 5463710.

The greatest common factor of 9425/890,4639/6139 = [GCF of 9425,4639]/[LCM of 890,6139]= 1/5463710

Therefore, the GCF of 9425/890,4639/6139 is 1/5463710.

Greatest Common Factor of 9425,4639

To find the highest common factor of 9425,4639, we have to find the factors of both numbers and list the highest common factor.

The factors of 9425 are 1, 5, 13, 25, 29, 65, 145, 325, 377, 725, 1885, 9425

The factors of 4639 are 1, 4639

The HCF of 9425,4639 is 1.

Lets's calculate GCF of 9425,4639

Greatest Common Factor (GCF) of 9425,4639 By Common Division

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

Greatest Common Factor of 9425,4639 By Matching Biggest Common Factor Method

Now, list down the factors of 9425

1,5,13,25,29,65,145,325,377,725,1885,9425

Now, list down the factors of 4639

1,4639

Greatest Common Factor

We found the factors 9425,4639 . The biggest common factor number is the GCF number.
So the greatest common factor 9425,4639 is 1.

Lets's calculate LCM of 890,6139

Lowest Common Multiple of 890,6139 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5463710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5463710

Therefore, the GCF of Fractions 9425/890,4639/6139 is 1/5463710

Least Common Multiple of 890,6139 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 890,6139 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(890,6139) = 1

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

GCF(890,6139) x common factors =1 x 1 = 1

LCM(890,6139) = ( 890 × 6139 ) / 1

LCM(890,6139) = 5463710 / 1

LCM(890,6139) = 5463710

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9425/890, 4639/6139

1. What is the HCF of 9425,4639?

The HCF of 9425,4639 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 9425/890, 4639/6139?

Answer: GCF of Numerators as per given numbers 9425/890, 4639/6139 is

GCF of Numerators i.e. for 9425,4639 is 1

LCM of denominators i.e. for 890,6139 is 5463710.

Thus, GCF of Fractions is 1/5463710.Finally, GCF of Fractions for 9425/890, 4639/6139 is 1/5463710.