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GCF of 7295/270, 6317/450

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 7295/270, 6317/450 i.e 1/1350 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7295/270, 6317/450.

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 7295/270,6317/450?

Given fractions are 7295/270,6317/450

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 7295/270,6317/450, numerators are 7295,6317

Denominators are 270,450

The GCF of 7295,6317 is 1 .

LCM of 270,450 is 1350.

The greatest common factor of 7295/270,6317/450 = [GCF of 7295,6317]/[LCM of 270,450]= 1/1350

Therefore, the GCF of 7295/270,6317/450 is 1/1350.

Greatest Common Factor of 7295,6317

To find the highest common factor of 7295,6317, we have to find the factors of both numbers and list the highest common factor.

The factors of 7295 are 1, 5, 1459, 7295

The factors of 6317 are 1, 6317

The HCF of 7295,6317 is 1.

Lets's calculate GCF of 7295,6317

Greatest Common Factor (GCF) of 7295,6317 By Common Division

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

Greatest Common Factor of 7295,6317 By Matching Biggest Common Factor Method

Greatest Common Factor of 7295,6317 By Matching Biggest Common Factor Method

Now, list down the factors of 7295

:

1,5,1459,7295

Now, list down the factors of 6317

:

1,6317

Greatest Common Factor

We found the factors 7295,6317 . The biggest common factor number is the GCF number.
So the greatest common factor 7295,6317 is 1.

Lets's calculate LCM of 270,450

Lowest Common Multiple of 270,450 using Common Division

2 270, 450
3 135, 225
3 45, 75
5 15, 25
3, 5

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 3 x 5 = 1350

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1350

Therefore, the GCF of Fractions 7295/270,6317/450 is 1/1350

Least Common Multiple of 270,450 with GCF Formula

Least Common Multiple of 270,450 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 270,450 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(270,450) = 90

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

GCF(270,450) x common factors =90 x 1 = 90

LCM(270,450) = ( 270 × 450 ) / 90

LCM(270,450) = 121500 / 90

LCM(270,450) = 1350


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FAQs on GCF of Fractions of 7295/270, 6317/450

1. What is the HCF of 7295,6317?

The HCF of 7295,6317 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 7295/270, 6317/450?

Answer: GCF of Numerators as per given numbers 7295/270, 6317/450 is

GCF of Numerators i.e. for 7295,6317 is 1

LCM of denominators i.e. for 270,450 is 1350.

Thus, GCF of Fractions is 1/1350.Finally, GCF of Fractions for 7295/270, 6317/450 is 1/1350.