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GCF of 6415/270, 3523/1208

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 6415/270, 3523/1208 i.e 1/163080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6415/270, 3523/1208.

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 6415/270,3523/1208?

Given fractions are 6415/270,3523/1208

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 6415/270,3523/1208, numerators are 6415,3523

Denominators are 270,1208

The GCF of 6415,3523 is 1 .

LCM of 270,1208 is 163080.

The greatest common factor of 6415/270,3523/1208 = [GCF of 6415,3523]/[LCM of 270,1208]= 1/163080

Therefore, the GCF of 6415/270,3523/1208 is 1/163080.

Greatest Common Factor of 6415,3523

To find the highest common factor of 6415,3523, we have to find the factors of both numbers and list the highest common factor.

The factors of 6415 are 1, 5, 1283, 6415

The factors of 3523 are 1, 13, 271, 3523

The HCF of 6415,3523 is 1.

Lets's calculate GCF of 6415,3523

Greatest Common Factor (GCF) of 6415,3523 By Common Division

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

Greatest Common Factor of 6415,3523 By Matching Biggest Common Factor Method

Greatest Common Factor of 6415,3523 By Matching Biggest Common Factor Method

Now, list down the factors of 6415

:

1,5,1283,6415

Now, list down the factors of 3523

:

1,13,271,3523

Greatest Common Factor

We found the factors 6415,3523 . The biggest common factor number is the GCF number.
So the greatest common factor 6415,3523 is 1.

Lets's calculate LCM of 270,1208

Lowest Common Multiple of 270,1208 using Common Division

2 270, 1208
135, 604

∴ So the LCM of the given numbers is 2 x 135 x 604 = 163080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/163080

Therefore, the GCF of Fractions 6415/270,3523/1208 is 1/163080

Least Common Multiple of 270,1208 with GCF Formula

Least Common Multiple of 270,1208 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 270,1208 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(270,1208) = 2

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

GCF(270,1208) x common factors =2 x 1 = 2

LCM(270,1208) = ( 270 × 1208 ) / 2

LCM(270,1208) = 326160 / 2

LCM(270,1208) = 163080


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FAQs on GCF of Fractions of 6415/270, 3523/1208

1. What is the HCF of 6415,3523?

The HCF of 6415,3523 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 6415/270, 3523/1208?

Answer: GCF of Numerators as per given numbers 6415/270, 3523/1208 is

GCF of Numerators i.e. for 6415,3523 is 1

LCM of denominators i.e. for 270,1208 is 163080.

Thus, GCF of Fractions is 1/163080.Finally, GCF of Fractions for 6415/270, 3523/1208 is 1/163080.