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GCF of 5872/176, 5479/650

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 5872/176, 5479/650 i.e 1/57200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5872/176, 5479/650.

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 5872/176,5479/650?

Given fractions are 5872/176,5479/650

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 5872/176,5479/650, numerators are 5872,5479

Denominators are 176,650

The GCF of 5872,5479 is 1 .

LCM of 176,650 is 57200.

The greatest common factor of 5872/176,5479/650 = [GCF of 5872,5479]/[LCM of 176,650]= 1/57200

Therefore, the GCF of 5872/176,5479/650 is 1/57200.

Greatest Common Factor of 5872,5479

To find the highest common factor of 5872,5479, we have to find the factors of both numbers and list the highest common factor.

The factors of 5872 are 1, 2, 4, 8, 16, 367, 734, 1468, 2936, 5872

The factors of 5479 are 1, 5479

The HCF of 5872,5479 is 1.

Lets's calculate GCF of 5872,5479

Greatest Common Factor (GCF) of 5872,5479 By Common Division

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

Greatest Common Factor of 5872,5479 By Matching Biggest Common Factor Method

Greatest Common Factor of 5872,5479 By Matching Biggest Common Factor Method

Now, list down the factors of 5872

:

1,2,4,8,16,367,734,1468,2936,5872

Now, list down the factors of 5479

:

1,5479

Greatest Common Factor

We found the factors 5872,5479 . The biggest common factor number is the GCF number.
So the greatest common factor 5872,5479 is 1.

Lets's calculate LCM of 176,650

Lowest Common Multiple of 176,650 using Common Division

2 176, 650
88, 325

∴ So the LCM of the given numbers is 2 x 88 x 325 = 57200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/57200

Therefore, the GCF of Fractions 5872/176,5479/650 is 1/57200

Least Common Multiple of 176,650 with GCF Formula

Least Common Multiple of 176,650 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 176,650 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(176,650) = 2

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

GCF(176,650) x common factors =2 x 1 = 2

LCM(176,650) = ( 176 × 650 ) / 2

LCM(176,650) = 114400 / 2

LCM(176,650) = 57200


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FAQs on GCF of Fractions of 5872/176, 5479/650

1. What is the HCF of 5872,5479?

The HCF of 5872,5479 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 5872/176, 5479/650?

Answer: GCF of Numerators as per given numbers 5872/176, 5479/650 is

GCF of Numerators i.e. for 5872,5479 is 1

LCM of denominators i.e. for 176,650 is 57200.

Thus, GCF of Fractions is 1/57200.Finally, GCF of Fractions for 5872/176, 5479/650 is 1/57200.