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GCF of 902/213, 1697/7035

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 902/213, 1697/7035 i.e 1/499485 easily. The following is the detailed procedure to determine the greatest common factor of fractions 902/213, 1697/7035.

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 902/213,1697/7035?

Given fractions are 902/213,1697/7035

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 902/213,1697/7035, numerators are 902,1697

Denominators are 213,7035

The GCF of 902,1697 is 1 .

LCM of 213,7035 is 499485.

The greatest common factor of 902/213,1697/7035 = [GCF of 902,1697]/[LCM of 213,7035]= 1/499485

Therefore, the GCF of 902/213,1697/7035 is 1/499485.

Greatest Common Factor of 902,1697

To find the highest common factor of 902,1697, we have to find the factors of both numbers and list the highest common factor.

The factors of 902 are 1, 2, 11, 22, 41, 82, 451, 902

The factors of 1697 are 1, 1697

The HCF of 902,1697 is 1.

Lets's calculate GCF of 902,1697

Greatest Common Factor (GCF) of 902,1697 By Common Division

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

Greatest Common Factor of 902,1697 By Matching Biggest Common Factor Method

Greatest Common Factor of 902,1697 By Matching Biggest Common Factor Method

Now, list down the factors of 902

:

1,2,11,22,41,82,451,902

Now, list down the factors of 1697

:

1,1697

Greatest Common Factor

We found the factors 902,1697 . The biggest common factor number is the GCF number.
So the greatest common factor 902,1697 is 1.

Lets's calculate LCM of 213,7035

Lowest Common Multiple of 213,7035 using Common Division

3 213, 7035
71, 2345

∴ So the LCM of the given numbers is 3 x 71 x 2345 = 499485

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/499485

Therefore, the GCF of Fractions 902/213,1697/7035 is 1/499485

Least Common Multiple of 213,7035 with GCF Formula

Least Common Multiple of 213,7035 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 213,7035 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(213,7035) = 3

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

GCF(213,7035) x common factors =3 x 1 = 3

LCM(213,7035) = ( 213 × 7035 ) / 3

LCM(213,7035) = 1498455 / 3

LCM(213,7035) = 499485


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FAQs on GCF of Fractions of 902/213, 1697/7035

1. What is the HCF of 902,1697?

The HCF of 902,1697 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 902/213, 1697/7035?

Answer: GCF of Numerators as per given numbers 902/213, 1697/7035 is

GCF of Numerators i.e. for 902,1697 is 1

LCM of denominators i.e. for 213,7035 is 499485.

Thus, GCF of Fractions is 1/499485.Finally, GCF of Fractions for 902/213, 1697/7035 is 1/499485.