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GCF of 3389/902, 2467/8187

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 3389/902, 2467/8187 i.e 1/7384674 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3389/902, 2467/8187.

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 3389/902,2467/8187?

Given fractions are 3389/902,2467/8187

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 3389/902,2467/8187, numerators are 3389,2467

Denominators are 902,8187

The GCF of 3389,2467 is 1 .

LCM of 902,8187 is 7384674.

The greatest common factor of 3389/902,2467/8187 = [GCF of 3389,2467]/[LCM of 902,8187]= 1/7384674

Therefore, the GCF of 3389/902,2467/8187 is 1/7384674.

Greatest Common Factor of 3389,2467

To find the highest common factor of 3389,2467, we have to find the factors of both numbers and list the highest common factor.

The factors of 3389 are 1, 3389

The factors of 2467 are 1, 2467

The HCF of 3389,2467 is 1.

Lets's calculate GCF of 3389,2467

Greatest Common Factor (GCF) of 3389,2467 By Common Division

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

Greatest Common Factor of 3389,2467 By Matching Biggest Common Factor Method

Greatest Common Factor of 3389,2467 By Matching Biggest Common Factor Method

Now, list down the factors of 3389

:

1,3389

Now, list down the factors of 2467

:

1,2467

Greatest Common Factor

We found the factors 3389,2467 . The biggest common factor number is the GCF number.
So the greatest common factor 3389,2467 is 1.

Lets's calculate LCM of 902,8187

Lowest Common Multiple of 902,8187 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7384674

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7384674

Therefore, the GCF of Fractions 3389/902,2467/8187 is 1/7384674

Least Common Multiple of 902,8187 with GCF Formula

Least Common Multiple of 902,8187 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 902,8187 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(902,8187) = 1

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

GCF(902,8187) x common factors =1 x 1 = 1

LCM(902,8187) = ( 902 × 8187 ) / 1

LCM(902,8187) = 7384674 / 1

LCM(902,8187) = 7384674


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FAQs on GCF of Fractions of 3389/902, 2467/8187

1. What is the HCF of 3389,2467?

The HCF of 3389,2467 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 3389/902, 2467/8187?

Answer: GCF of Numerators as per given numbers 3389/902, 2467/8187 is

GCF of Numerators i.e. for 3389,2467 is 1

LCM of denominators i.e. for 902,8187 is 7384674.

Thus, GCF of Fractions is 1/7384674.Finally, GCF of Fractions for 3389/902, 2467/8187 is 1/7384674.