How to Find GCF of 6364/980, 2363/3540?

GCF of 6364/980, 2363/3540

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 6364/980, 2363/3540 i.e 1/173460 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6364/980, 2363/3540.

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 6364/980,2363/3540?

Given fractions are 6364/980,2363/3540

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 6364/980,2363/3540, numerators are 6364,2363

Denominators are 980,3540

The GCF of 6364,2363 is 1 .

LCM of 980,3540 is 173460.

The greatest common factor of 6364/980,2363/3540 = [GCF of 6364,2363]/[LCM of 980,3540]= 1/173460

Therefore, the GCF of 6364/980,2363/3540 is 1/173460.

Greatest Common Factor of 6364,2363

To find the highest common factor of 6364,2363, we have to find the factors of both numbers and list the highest common factor.

The factors of 6364 are 1, 2, 4, 37, 43, 74, 86, 148, 172, 1591, 3182, 6364

The factors of 2363 are 1, 17, 139, 2363

The HCF of 6364,2363 is 1.

Lets's calculate GCF of 6364,2363

Greatest Common Factor (GCF) of 6364,2363 By Common Division

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

Greatest Common Factor of 6364,2363 By Matching Biggest Common Factor Method

Now, list down the factors of 6364

1,2,4,37,43,74,86,148,172,1591,3182,6364

Now, list down the factors of 2363

1,17,139,2363

Greatest Common Factor

We found the factors 6364,2363 . The biggest common factor number is the GCF number.
So the greatest common factor 6364,2363 is 1.

Lets's calculate LCM of 980,3540

Lowest Common Multiple of 980,3540 using Common Division

2	980, 3540
2	490, 1770
5	245, 885
	49, 177

∴ So the LCM of the given numbers is 2 x 2 x 5 x 49 x 177 = 173460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/173460

Therefore, the GCF of Fractions 6364/980,2363/3540 is 1/173460

Least Common Multiple of 980,3540 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 980,3540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(980,3540) = 20

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

GCF(980,3540) x common factors =20 x 1 = 20

LCM(980,3540) = ( 980 × 3540 ) / 20

LCM(980,3540) = 3469200 / 20

LCM(980,3540) = 173460

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FAQs on GCF of Fractions of 6364/980, 2363/3540

1. What is the HCF of 6364,2363?

The HCF of 6364,2363 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 6364/980, 2363/3540?

Answer: GCF of Numerators as per given numbers 6364/980, 2363/3540 is

GCF of Numerators i.e. for 6364,2363 is 1

LCM of denominators i.e. for 980,3540 is 173460.

Thus, GCF of Fractions is 1/173460.Finally, GCF of Fractions for 6364/980, 2363/3540 is 1/173460.