How to Find GCF of 1109/838, 3237/7614?

GCF of 1109/838, 3237/7614

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 1109/838, 3237/7614 i.e 1/3190266 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1109/838, 3237/7614.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 1109/838,3237/7614?

Given fractions are 1109/838,3237/7614

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 1109/838,3237/7614, numerators are 1109,3237

Denominators are 838,7614

The GCF of 1109,3237 is 1 .

LCM of 838,7614 is 3190266.

The greatest common factor of 1109/838,3237/7614 = [GCF of 1109,3237]/[LCM of 838,7614]= 1/3190266

Therefore, the GCF of 1109/838,3237/7614 is 1/3190266.

Greatest Common Factor of 1109,3237

To find the highest common factor of 1109,3237, we have to find the factors of both numbers and list the highest common factor.

The factors of 1109 are 1, 1109

The factors of 3237 are 1, 3, 13, 39, 83, 249, 1079, 3237

The HCF of 1109,3237 is 1.

Lets's calculate GCF of 1109,3237

Greatest Common Factor (GCF) of 1109,3237 By Common Division

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

Greatest Common Factor of 1109,3237 By Matching Biggest Common Factor Method

Now, list down the factors of 1109

1,1109

Now, list down the factors of 3237

1,3,13,39,83,249,1079,3237

Greatest Common Factor

We found the factors 1109,3237 . The biggest common factor number is the GCF number.
So the greatest common factor 1109,3237 is 1.

Lets's calculate LCM of 838,7614

Lowest Common Multiple of 838,7614 using Common Division

2	838, 7614
	419, 3807

∴ So the LCM of the given numbers is 2 x 419 x 3807 = 3190266

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3190266

Therefore, the GCF of Fractions 1109/838,3237/7614 is 1/3190266

Least Common Multiple of 838,7614 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 838,7614 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(838,7614) = 2

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

GCF(838,7614) x common factors =2 x 1 = 2

LCM(838,7614) = ( 838 × 7614 ) / 2

LCM(838,7614) = 6380532 / 2

LCM(838,7614) = 3190266

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FAQs on GCF of Fractions of 1109/838, 3237/7614

1. What is the HCF of 1109,3237?

The HCF of 1109,3237 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 1109/838, 3237/7614?

Answer: GCF of Numerators as per given numbers 1109/838, 3237/7614 is

GCF of Numerators i.e. for 1109,3237 is 1

LCM of denominators i.e. for 838,7614 is 3190266.

Thus, GCF of Fractions is 1/3190266.Finally, GCF of Fractions for 1109/838, 3237/7614 is 1/3190266.