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GCF of 602/992, 846/720

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 602/992, 846/720 i.e 2/44640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 602/992, 846/720.

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 602/992,846/720?

Given fractions are 602/992,846/720

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 602/992,846/720, numerators are 602,846

Denominators are 992,720

The GCF of 602,846 is 2 .

LCM of 992,720 is 44640.

The greatest common factor of 602/992,846/720 = [GCF of 602,846]/[LCM of 992,720]= 2/44640

Therefore, the GCF of 602/992,846/720 is 2/44640.

Greatest Common Factor of 602,846

To find the highest common factor of 602,846, we have to find the factors of both numbers and list the highest common factor.

The factors of 602 are 1, 2, 7, 14, 43, 86, 301, 602

The factors of 846 are 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

The HCF of 602,846 is 2.

Lets's calculate GCF of 602,846

Greatest Common Factor (GCF) of 602,846 By Common Division

2 602, 846
301, 423

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 602,846 By Matching Biggest Common Factor Method

Greatest Common Factor of 602,846 By Matching Biggest Common Factor Method

Now, list down the factors of 602

:

1,2,7,14,43,86,301,602

Now, list down the factors of 846

:

1,2,3,6,9,18,47,94,141,282,423,846

Greatest Common Factor

We found the factors 602,846 . The biggest common factor number is the GCF number.
So the greatest common factor 602,846 is 2.

Lets's calculate LCM of 992,720

Lowest Common Multiple of 992,720 using Common Division

2 992, 720
2 496, 360
2 248, 180
2 124, 90
62, 45

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 62 x 45 = 44640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/44640

Therefore, the GCF of Fractions 602/992,846/720 is 2/44640

Least Common Multiple of 992,720 with GCF Formula

Least Common Multiple of 992,720 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 992,720 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(992,720) = 16

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

GCF(992,720) x common factors =16 x 1 = 16

LCM(992,720) = ( 992 × 720 ) / 16

LCM(992,720) = 714240 / 16

LCM(992,720) = 44640


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FAQs on GCF of Fractions of 602/992, 846/720

1. What is the HCF of 602,846?

The HCF of 602,846 is 2

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 602/992, 846/720?

Answer: GCF of Numerators as per given numbers 602/992, 846/720 is

GCF of Numerators i.e. for 602,846 is 2

LCM of denominators i.e. for 992,720 is 44640.

Thus, GCF of Fractions is 2/44640.Finally, GCF of Fractions for 602/992, 846/720 is 2/44640.