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GCF of 3353/275, 6130/320

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 3353/275, 6130/320 i.e 1/17600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3353/275, 6130/320.

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 3353/275,6130/320?

Given fractions are 3353/275,6130/320

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 3353/275,6130/320, numerators are 3353,6130

Denominators are 275,320

The GCF of 3353,6130 is 1 .

LCM of 275,320 is 17600.

The greatest common factor of 3353/275,6130/320 = [GCF of 3353,6130]/[LCM of 275,320]= 1/17600

Therefore, the GCF of 3353/275,6130/320 is 1/17600.

Greatest Common Factor of 3353,6130

To find the highest common factor of 3353,6130, we have to find the factors of both numbers and list the highest common factor.

The factors of 3353 are 1, 7, 479, 3353

The factors of 6130 are 1, 2, 5, 10, 613, 1226, 3065, 6130

The HCF of 3353,6130 is 1.

Lets's calculate GCF of 3353,6130

Greatest Common Factor (GCF) of 3353,6130 By Common Division

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

Greatest Common Factor of 3353,6130 By Matching Biggest Common Factor Method

Greatest Common Factor of 3353,6130 By Matching Biggest Common Factor Method

Now, list down the factors of 3353

:

1,7,479,3353

Now, list down the factors of 6130

:

1,2,5,10,613,1226,3065,6130

Greatest Common Factor

We found the factors 3353,6130 . The biggest common factor number is the GCF number.
So the greatest common factor 3353,6130 is 1.

Lets's calculate LCM of 275,320

Lowest Common Multiple of 275,320 using Common Division

5 275, 320
55, 64

∴ So the LCM of the given numbers is 5 x 55 x 64 = 17600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17600

Therefore, the GCF of Fractions 3353/275,6130/320 is 1/17600

Least Common Multiple of 275,320 with GCF Formula

Least Common Multiple of 275,320 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 275,320 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(275,320) = 5

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

GCF(275,320) x common factors =5 x 1 = 5

LCM(275,320) = ( 275 × 320 ) / 5

LCM(275,320) = 88000 / 5

LCM(275,320) = 17600


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FAQs on GCF of Fractions of 3353/275, 6130/320

1. What is the HCF of 3353,6130?

The HCF of 3353,6130 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 3353/275, 6130/320?

Answer: GCF of Numerators as per given numbers 3353/275, 6130/320 is

GCF of Numerators i.e. for 3353,6130 is 1

LCM of denominators i.e. for 275,320 is 17600.

Thus, GCF of Fractions is 1/17600.Finally, GCF of Fractions for 3353/275, 6130/320 is 1/17600.