How to Find GCF of 3695/416, 3873/1945?

GCF of 3695/416, 3873/1945

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 3695/416, 3873/1945 i.e 1/809120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3695/416, 3873/1945.

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 3695/416,3873/1945?

Given fractions are 3695/416,3873/1945

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 3695/416,3873/1945, numerators are 3695,3873

Denominators are 416,1945

The GCF of 3695,3873 is 1 .

LCM of 416,1945 is 809120.

The greatest common factor of 3695/416,3873/1945 = [GCF of 3695,3873]/[LCM of 416,1945]= 1/809120

Therefore, the GCF of 3695/416,3873/1945 is 1/809120.

Greatest Common Factor of 3695,3873

To find the highest common factor of 3695,3873, we have to find the factors of both numbers and list the highest common factor.

The factors of 3695 are 1, 5, 739, 3695

The factors of 3873 are 1, 3, 1291, 3873

The HCF of 3695,3873 is 1.

Lets's calculate GCF of 3695,3873

Greatest Common Factor (GCF) of 3695,3873 By Common Division

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

Greatest Common Factor of 3695,3873 By Matching Biggest Common Factor Method

Now, list down the factors of 3695

1,5,739,3695

Now, list down the factors of 3873

1,3,1291,3873

Greatest Common Factor

We found the factors 3695,3873 . The biggest common factor number is the GCF number.
So the greatest common factor 3695,3873 is 1.

Lets's calculate LCM of 416,1945

Lowest Common Multiple of 416,1945 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 809120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/809120

Therefore, the GCF of Fractions 3695/416,3873/1945 is 1/809120

Least Common Multiple of 416,1945 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 416,1945 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(416,1945) = 1

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

GCF(416,1945) x common factors =1 x 1 = 1

LCM(416,1945) = ( 416 × 1945 ) / 1

LCM(416,1945) = 809120 / 1

LCM(416,1945) = 809120

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FAQs on GCF of Fractions of 3695/416, 3873/1945

1. What is the HCF of 3695,3873?

The HCF of 3695,3873 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 3695/416, 3873/1945?

Answer: GCF of Numerators as per given numbers 3695/416, 3873/1945 is

GCF of Numerators i.e. for 3695,3873 is 1

LCM of denominators i.e. for 416,1945 is 809120.

Thus, GCF of Fractions is 1/809120.Finally, GCF of Fractions for 3695/416, 3873/1945 is 1/809120.