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GCF of 6053/385, 3562/360

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 6053/385, 3562/360 i.e 1/27720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6053/385, 3562/360.

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 6053/385,3562/360?

Given fractions are 6053/385,3562/360

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 6053/385,3562/360, numerators are 6053,3562

Denominators are 385,360

The GCF of 6053,3562 is 1 .

LCM of 385,360 is 27720.

The greatest common factor of 6053/385,3562/360 = [GCF of 6053,3562]/[LCM of 385,360]= 1/27720

Therefore, the GCF of 6053/385,3562/360 is 1/27720.

Greatest Common Factor of 6053,3562

To find the highest common factor of 6053,3562, we have to find the factors of both numbers and list the highest common factor.

The factors of 6053 are 1, 6053

The factors of 3562 are 1, 2, 13, 26, 137, 274, 1781, 3562

The HCF of 6053,3562 is 1.

Lets's calculate GCF of 6053,3562

Greatest Common Factor (GCF) of 6053,3562 By Common Division

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

Greatest Common Factor of 6053,3562 By Matching Biggest Common Factor Method

Greatest Common Factor of 6053,3562 By Matching Biggest Common Factor Method

Now, list down the factors of 6053

:

1,6053

Now, list down the factors of 3562

:

1,2,13,26,137,274,1781,3562

Greatest Common Factor

We found the factors 6053,3562 . The biggest common factor number is the GCF number.
So the greatest common factor 6053,3562 is 1.

Lets's calculate LCM of 385,360

Lowest Common Multiple of 385,360 using Common Division

5 385, 360
77, 72

∴ So the LCM of the given numbers is 5 x 77 x 72 = 27720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27720

Therefore, the GCF of Fractions 6053/385,3562/360 is 1/27720

Least Common Multiple of 385,360 with GCF Formula

Least Common Multiple of 385,360 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 385,360 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(385,360) = 5

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

GCF(385,360) x common factors =5 x 1 = 5

LCM(385,360) = ( 385 × 360 ) / 5

LCM(385,360) = 138600 / 5

LCM(385,360) = 27720


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FAQs on GCF of Fractions of 6053/385, 3562/360

1. What is the HCF of 6053,3562?

The HCF of 6053,3562 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 6053/385, 3562/360?

Answer: GCF of Numerators as per given numbers 6053/385, 3562/360 is

GCF of Numerators i.e. for 6053,3562 is 1

LCM of denominators i.e. for 385,360 is 27720.

Thus, GCF of Fractions is 1/27720.Finally, GCF of Fractions for 6053/385, 3562/360 is 1/27720.