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GCF of 965/601, 390/892

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 965/601, 390/892 i.e 5/536092 easily. The following is the detailed procedure to determine the greatest common factor of fractions 965/601, 390/892.

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 965/601,390/892?

Given fractions are 965/601,390/892

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 965/601,390/892, numerators are 965,390

Denominators are 601,892

The GCF of 965,390 is 5 .

LCM of 601,892 is 536092.

The greatest common factor of 965/601,390/892 = [GCF of 965,390]/[LCM of 601,892]= 5/536092

Therefore, the GCF of 965/601,390/892 is 5/536092.

Greatest Common Factor of 965,390

To find the highest common factor of 965,390, we have to find the factors of both numbers and list the highest common factor.

The factors of 965 are 1, 5, 193, 965

The factors of 390 are 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

The HCF of 965,390 is 5.

Lets's calculate GCF of 965,390

Greatest Common Factor (GCF) of 965,390 By Common Division

5 965, 390
193, 78

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 965,390 By Matching Biggest Common Factor Method

Greatest Common Factor of 965,390 By Matching Biggest Common Factor Method

Now, list down the factors of 965

:

1,5,193,965

Now, list down the factors of 390

:

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Greatest Common Factor

We found the factors 965,390 . The biggest common factor number is the GCF number.
So the greatest common factor 965,390 is 5.

Lets's calculate LCM of 601,892

Lowest Common Multiple of 601,892 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 536092

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/536092

Therefore, the GCF of Fractions 965/601,390/892 is 5/536092

Least Common Multiple of 601,892 with GCF Formula

Least Common Multiple of 601,892 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 601,892 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(601,892) = 1

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

GCF(601,892) x common factors =1 x 1 = 1

LCM(601,892) = ( 601 × 892 ) / 1

LCM(601,892) = 536092 / 1

LCM(601,892) = 536092


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FAQs on GCF of Fractions of 965/601, 390/892

1. What is the HCF of 965,390?

The HCF of 965,390 is 5

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 965/601, 390/892?

Answer: GCF of Numerators as per given numbers 965/601, 390/892 is

GCF of Numerators i.e. for 965,390 is 5

LCM of denominators i.e. for 601,892 is 536092.

Thus, GCF of Fractions is 5/536092.Finally, GCF of Fractions for 965/601, 390/892 is 5/536092.