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GCF of 2960/359, 5302/5373

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 2960/359, 5302/5373 i.e 2/1928907 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2960/359, 5302/5373.

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 2960/359,5302/5373?

Given fractions are 2960/359,5302/5373

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 2960/359,5302/5373, numerators are 2960,5302

Denominators are 359,5373

The GCF of 2960,5302 is 2 .

LCM of 359,5373 is 1928907.

The greatest common factor of 2960/359,5302/5373 = [GCF of 2960,5302]/[LCM of 359,5373]= 2/1928907

Therefore, the GCF of 2960/359,5302/5373 is 2/1928907.

Greatest Common Factor of 2960,5302

To find the highest common factor of 2960,5302, we have to find the factors of both numbers and list the highest common factor.

The factors of 2960 are 1, 2, 4, 5, 8, 10, 16, 20, 37, 40, 74, 80, 148, 185, 296, 370, 592, 740, 1480, 2960

The factors of 5302 are 1, 2, 11, 22, 241, 482, 2651, 5302

The HCF of 2960,5302 is 2.

Lets's calculate GCF of 2960,5302

Greatest Common Factor (GCF) of 2960,5302 By Common Division

2 2960, 5302
1480, 2651

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

Greatest Common Factor of 2960,5302 By Matching Biggest Common Factor Method

Greatest Common Factor of 2960,5302 By Matching Biggest Common Factor Method

Now, list down the factors of 2960

:

1,2,4,5,8,10,16,20,37,40,74,80,148,185,296,370,592,740,1480,2960

Now, list down the factors of 5302

:

1,2,11,22,241,482,2651,5302

Greatest Common Factor

We found the factors 2960,5302 . The biggest common factor number is the GCF number.
So the greatest common factor 2960,5302 is 2.


Lets's calculate LCM of 359,5373

Lowest Common Multiple of 359,5373 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1928907

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1928907

Therefore, the GCF of Fractions 2960/359,5302/5373 is 2/1928907

Least Common Multiple of 359,5373 with GCF Formula

Least Common Multiple of 359,5373 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 359,5373 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(359,5373) = 1

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

GCF(359,5373) x common factors =1 x 1 = 1

LCM(359,5373) = ( 359 × 5373 ) / 1

LCM(359,5373) = 1928907 / 1

LCM(359,5373) = 1928907


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 2960/359, 5302/5373

1. What is the HCF of 2960,5302?

The HCF of 2960,5302 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 2960/359, 5302/5373?

Answer: GCF of Numerators as per given numbers 2960/359, 5302/5373 is

GCF of Numerators i.e. for 2960,5302 is 2

LCM of denominators i.e. for 359,5373 is 1928907.

Thus, GCF of Fractions is 2/1928907.Finally, GCF of Fractions for 2960/359, 5302/5373 is 2/1928907.