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GCF of 3497/280, 2127/7113

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 3497/280, 2127/7113 i.e 1/1991640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3497/280, 2127/7113.

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 3497/280,2127/7113?

Given fractions are 3497/280,2127/7113

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 3497/280,2127/7113, numerators are 3497,2127

Denominators are 280,7113

The GCF of 3497,2127 is 1 .

LCM of 280,7113 is 1991640.

The greatest common factor of 3497/280,2127/7113 = [GCF of 3497,2127]/[LCM of 280,7113]= 1/1991640

Therefore, the GCF of 3497/280,2127/7113 is 1/1991640.

Greatest Common Factor of 3497,2127

To find the highest common factor of 3497,2127, we have to find the factors of both numbers and list the highest common factor.

The factors of 3497 are 1, 13, 269, 3497

The factors of 2127 are 1, 3, 709, 2127

The HCF of 3497,2127 is 1.

Lets's calculate GCF of 3497,2127

Greatest Common Factor (GCF) of 3497,2127 By Common Division

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

Greatest Common Factor of 3497,2127 By Matching Biggest Common Factor Method

Greatest Common Factor of 3497,2127 By Matching Biggest Common Factor Method

Now, list down the factors of 3497

:

1,13,269,3497

Now, list down the factors of 2127

:

1,3,709,2127

Greatest Common Factor

We found the factors 3497,2127 . The biggest common factor number is the GCF number.
So the greatest common factor 3497,2127 is 1.

Lets's calculate LCM of 280,7113

Lowest Common Multiple of 280,7113 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1991640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1991640

Therefore, the GCF of Fractions 3497/280,2127/7113 is 1/1991640

Least Common Multiple of 280,7113 with GCF Formula

Least Common Multiple of 280,7113 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 280,7113 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(280,7113) = 1

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

GCF(280,7113) x common factors =1 x 1 = 1

LCM(280,7113) = ( 280 × 7113 ) / 1

LCM(280,7113) = 1991640 / 1

LCM(280,7113) = 1991640


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FAQs on GCF of Fractions of 3497/280, 2127/7113

1. What is the HCF of 3497,2127?

The HCF of 3497,2127 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 3497/280, 2127/7113?

Answer: GCF of Numerators as per given numbers 3497/280, 2127/7113 is

GCF of Numerators i.e. for 3497,2127 is 1

LCM of denominators i.e. for 280,7113 is 1991640.

Thus, GCF of Fractions is 1/1991640.Finally, GCF of Fractions for 3497/280, 2127/7113 is 1/1991640.