How to Find GCF of 3785/757, 6826/1017?

GCF of 3785/757, 6826/1017

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 3785/757, 6826/1017 i.e 1/769869 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3785/757, 6826/1017.

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 3785/757,6826/1017?

Given fractions are 3785/757,6826/1017

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 3785/757,6826/1017, numerators are 3785,6826

Denominators are 757,1017

The GCF of 3785,6826 is 1 .

LCM of 757,1017 is 769869.

The greatest common factor of 3785/757,6826/1017 = [GCF of 3785,6826]/[LCM of 757,1017]= 1/769869

Therefore, the GCF of 3785/757,6826/1017 is 1/769869.

Greatest Common Factor of 3785,6826

To find the highest common factor of 3785,6826, we have to find the factors of both numbers and list the highest common factor.

The factors of 3785 are 1, 5, 757, 3785

The factors of 6826 are 1, 2, 3413, 6826

The HCF of 3785,6826 is 1.

Lets's calculate GCF of 3785,6826

Greatest Common Factor (GCF) of 3785,6826 By Common Division

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

Greatest Common Factor of 3785,6826 By Matching Biggest Common Factor Method

Now, list down the factors of 3785

1,5,757,3785

Now, list down the factors of 6826

1,2,3413,6826

Greatest Common Factor

We found the factors 3785,6826 . The biggest common factor number is the GCF number.
So the greatest common factor 3785,6826 is 1.

Lets's calculate LCM of 757,1017

Lowest Common Multiple of 757,1017 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 769869

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/769869

Therefore, the GCF of Fractions 3785/757,6826/1017 is 1/769869

Least Common Multiple of 757,1017 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 757,1017 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(757,1017) = 1

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

GCF(757,1017) x common factors =1 x 1 = 1

LCM(757,1017) = ( 757 × 1017 ) / 1

LCM(757,1017) = 769869 / 1

LCM(757,1017) = 769869

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FAQs on GCF of Fractions of 3785/757, 6826/1017

1. What is the HCF of 3785,6826?

The HCF of 3785,6826 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 3785/757, 6826/1017?

Answer: GCF of Numerators as per given numbers 3785/757, 6826/1017 is

GCF of Numerators i.e. for 3785,6826 is 1

LCM of denominators i.e. for 757,1017 is 769869.

Thus, GCF of Fractions is 1/769869.Finally, GCF of Fractions for 3785/757, 6826/1017 is 1/769869.