How to Find GCF of 4917/592, 7474/9620?

GCF of 4917/592, 7474/9620

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 4917/592, 7474/9620 i.e 1/38480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4917/592, 7474/9620.

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 4917/592,7474/9620?

Given fractions are 4917/592,7474/9620

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 4917/592,7474/9620, numerators are 4917,7474

Denominators are 592,9620

The GCF of 4917,7474 is 1 .

LCM of 592,9620 is 38480.

The greatest common factor of 4917/592,7474/9620 = [GCF of 4917,7474]/[LCM of 592,9620]= 1/38480

Therefore, the GCF of 4917/592,7474/9620 is 1/38480.

Greatest Common Factor of 4917,7474

To find the highest common factor of 4917,7474, we have to find the factors of both numbers and list the highest common factor.

The factors of 4917 are 1, 3, 11, 33, 149, 447, 1639, 4917

The factors of 7474 are 1, 2, 37, 74, 101, 202, 3737, 7474

The HCF of 4917,7474 is 1.

Lets's calculate GCF of 4917,7474

Greatest Common Factor (GCF) of 4917,7474 By Common Division

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

Greatest Common Factor of 4917,7474 By Matching Biggest Common Factor Method

Now, list down the factors of 4917

1,3,11,33,149,447,1639,4917

Now, list down the factors of 7474

1,2,37,74,101,202,3737,7474

Greatest Common Factor

We found the factors 4917,7474 . The biggest common factor number is the GCF number.
So the greatest common factor 4917,7474 is 1.

Lets's calculate LCM of 592,9620

Lowest Common Multiple of 592,9620 using Common Division

2	592, 9620
2	296, 4810
37	148, 2405
	4, 65

∴ So the LCM of the given numbers is 2 x 2 x 37 x 4 x 65 = 38480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38480

Therefore, the GCF of Fractions 4917/592,7474/9620 is 1/38480

Least Common Multiple of 592,9620 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 592,9620 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(592,9620) = 148

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

GCF(592,9620) x common factors =148 x 1 = 148

LCM(592,9620) = ( 592 × 9620 ) / 148

LCM(592,9620) = 5695040 / 148

LCM(592,9620) = 38480

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FAQs on GCF of Fractions of 4917/592, 7474/9620

1. What is the HCF of 4917,7474?

The HCF of 4917,7474 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 4917/592, 7474/9620?

Answer: GCF of Numerators as per given numbers 4917/592, 7474/9620 is

GCF of Numerators i.e. for 4917,7474 is 1

LCM of denominators i.e. for 592,9620 is 38480.

Thus, GCF of Fractions is 1/38480.Finally, GCF of Fractions for 4917/592, 7474/9620 is 1/38480.