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GCF of 3139/749, 4759/9489

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 3139/749, 4759/9489 i.e 1/7107261 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3139/749, 4759/9489.

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 3139/749,4759/9489?

Given fractions are 3139/749,4759/9489

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 3139/749,4759/9489, numerators are 3139,4759

Denominators are 749,9489

The GCF of 3139,4759 is 1 .

LCM of 749,9489 is 7107261.

The greatest common factor of 3139/749,4759/9489 = [GCF of 3139,4759]/[LCM of 749,9489]= 1/7107261

Therefore, the GCF of 3139/749,4759/9489 is 1/7107261.

Greatest Common Factor of 3139,4759

To find the highest common factor of 3139,4759, we have to find the factors of both numbers and list the highest common factor.

The factors of 3139 are 1, 43, 73, 3139

The factors of 4759 are 1, 4759

The HCF of 3139,4759 is 1.

Lets's calculate GCF of 3139,4759

Greatest Common Factor (GCF) of 3139,4759 By Common Division

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

Greatest Common Factor of 3139,4759 By Matching Biggest Common Factor Method

Greatest Common Factor of 3139,4759 By Matching Biggest Common Factor Method

Now, list down the factors of 3139

:

1,43,73,3139

Now, list down the factors of 4759

:

1,4759

Greatest Common Factor

We found the factors 3139,4759 . The biggest common factor number is the GCF number.
So the greatest common factor 3139,4759 is 1.

Lets's calculate LCM of 749,9489

Lowest Common Multiple of 749,9489 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7107261

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7107261

Therefore, the GCF of Fractions 3139/749,4759/9489 is 1/7107261

Least Common Multiple of 749,9489 with GCF Formula

Least Common Multiple of 749,9489 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 749,9489 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(749,9489) = 1

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

GCF(749,9489) x common factors =1 x 1 = 1

LCM(749,9489) = ( 749 × 9489 ) / 1

LCM(749,9489) = 7107261 / 1

LCM(749,9489) = 7107261


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 3139/749, 4759/9489

1. What is the HCF of 3139,4759?

The HCF of 3139,4759 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 3139/749, 4759/9489?

Answer: GCF of Numerators as per given numbers 3139/749, 4759/9489 is

GCF of Numerators i.e. for 3139,4759 is 1

LCM of denominators i.e. for 749,9489 is 7107261.

Thus, GCF of Fractions is 1/7107261.Finally, GCF of Fractions for 3139/749, 4759/9489 is 1/7107261.