How to Find GCF of 7660/934, 6833/2609?

GCF of 7660/934, 6833/2609

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 7660/934, 6833/2609 i.e 1/2436806 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7660/934, 6833/2609.

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 7660/934,6833/2609?

Given fractions are 7660/934,6833/2609

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 7660/934,6833/2609, numerators are 7660,6833

Denominators are 934,2609

The GCF of 7660,6833 is 1 .

LCM of 934,2609 is 2436806.

The greatest common factor of 7660/934,6833/2609 = [GCF of 7660,6833]/[LCM of 934,2609]= 1/2436806

Therefore, the GCF of 7660/934,6833/2609 is 1/2436806.

Greatest Common Factor of 7660,6833

To find the highest common factor of 7660,6833, we have to find the factors of both numbers and list the highest common factor.

The factors of 7660 are 1, 2, 4, 5, 10, 20, 383, 766, 1532, 1915, 3830, 7660

The factors of 6833 are 1, 6833

The HCF of 7660,6833 is 1.

Lets's calculate GCF of 7660,6833

Greatest Common Factor (GCF) of 7660,6833 By Common Division

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

Greatest Common Factor of 7660,6833 By Matching Biggest Common Factor Method

Now, list down the factors of 7660

1,2,4,5,10,20,383,766,1532,1915,3830,7660

Now, list down the factors of 6833

1,6833

Greatest Common Factor

We found the factors 7660,6833 . The biggest common factor number is the GCF number.
So the greatest common factor 7660,6833 is 1.

Lets's calculate LCM of 934,2609

Lowest Common Multiple of 934,2609 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2436806

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2436806

Therefore, the GCF of Fractions 7660/934,6833/2609 is 1/2436806

Least Common Multiple of 934,2609 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 934,2609 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(934,2609) = 1

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

GCF(934,2609) x common factors =1 x 1 = 1

LCM(934,2609) = ( 934 × 2609 ) / 1

LCM(934,2609) = 2436806 / 1

LCM(934,2609) = 2436806

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FAQs on GCF of Fractions of 7660/934, 6833/2609

1. What is the HCF of 7660,6833?

The HCF of 7660,6833 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 7660/934, 6833/2609?

Answer: GCF of Numerators as per given numbers 7660/934, 6833/2609 is

GCF of Numerators i.e. for 7660,6833 is 1

LCM of denominators i.e. for 934,2609 is 2436806.

Thus, GCF of Fractions is 1/2436806.Finally, GCF of Fractions for 7660/934, 6833/2609 is 1/2436806.