How to Find GCF of 7961/584, 4638/9052?

GCF of 7961/584, 4638/9052

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 7961/584, 4638/9052 i.e 1/18104 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7961/584, 4638/9052.

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 7961/584,4638/9052?

Given fractions are 7961/584,4638/9052

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 7961/584,4638/9052, numerators are 7961,4638

Denominators are 584,9052

The GCF of 7961,4638 is 1 .

LCM of 584,9052 is 18104.

The greatest common factor of 7961/584,4638/9052 = [GCF of 7961,4638]/[LCM of 584,9052]= 1/18104

Therefore, the GCF of 7961/584,4638/9052 is 1/18104.

Greatest Common Factor of 7961,4638

To find the highest common factor of 7961,4638, we have to find the factors of both numbers and list the highest common factor.

The factors of 7961 are 1, 19, 419, 7961

The factors of 4638 are 1, 2, 3, 6, 773, 1546, 2319, 4638

The HCF of 7961,4638 is 1.

Lets's calculate GCF of 7961,4638

Greatest Common Factor (GCF) of 7961,4638 By Common Division

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

Greatest Common Factor of 7961,4638 By Matching Biggest Common Factor Method

Now, list down the factors of 7961

1,19,419,7961

Now, list down the factors of 4638

1,2,3,6,773,1546,2319,4638

Greatest Common Factor

We found the factors 7961,4638 . The biggest common factor number is the GCF number.
So the greatest common factor 7961,4638 is 1.

Lets's calculate LCM of 584,9052

Lowest Common Multiple of 584,9052 using Common Division

2	584, 9052
2	292, 4526
73	146, 2263
	2, 31

∴ So the LCM of the given numbers is 2 x 2 x 73 x 2 x 31 = 18104

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18104

Therefore, the GCF of Fractions 7961/584,4638/9052 is 1/18104

Least Common Multiple of 584,9052 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 584,9052 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(584,9052) = 292

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

GCF(584,9052) x common factors =292 x 1 = 292

LCM(584,9052) = ( 584 × 9052 ) / 292

LCM(584,9052) = 5286368 / 292

LCM(584,9052) = 18104

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FAQs on GCF of Fractions of 7961/584, 4638/9052

1. What is the HCF of 7961,4638?

The HCF of 7961,4638 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 7961/584, 4638/9052?

Answer: GCF of Numerators as per given numbers 7961/584, 4638/9052 is

GCF of Numerators i.e. for 7961,4638 is 1

LCM of denominators i.e. for 584,9052 is 18104.

Thus, GCF of Fractions is 1/18104.Finally, GCF of Fractions for 7961/584, 4638/9052 is 1/18104.