How to Find GCF of 7492/841, 3859/9390?

GCF of 7492/841, 3859/9390

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 7492/841, 3859/9390 i.e 1/7896990 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7492/841, 3859/9390.

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 7492/841,3859/9390?

Given fractions are 7492/841,3859/9390

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 7492/841,3859/9390, numerators are 7492,3859

Denominators are 841,9390

The GCF of 7492,3859 is 1 .

LCM of 841,9390 is 7896990.

The greatest common factor of 7492/841,3859/9390 = [GCF of 7492,3859]/[LCM of 841,9390]= 1/7896990

Therefore, the GCF of 7492/841,3859/9390 is 1/7896990.

Greatest Common Factor of 7492,3859

To find the highest common factor of 7492,3859, we have to find the factors of both numbers and list the highest common factor.

The factors of 7492 are 1, 2, 4, 1873, 3746, 7492

The factors of 3859 are 1, 17, 227, 3859

The HCF of 7492,3859 is 1.

Lets's calculate GCF of 7492,3859

Greatest Common Factor (GCF) of 7492,3859 By Common Division

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

Greatest Common Factor of 7492,3859 By Matching Biggest Common Factor Method

Now, list down the factors of 7492

1,2,4,1873,3746,7492

Now, list down the factors of 3859

1,17,227,3859

Greatest Common Factor

We found the factors 7492,3859 . The biggest common factor number is the GCF number.
So the greatest common factor 7492,3859 is 1.

Lets's calculate LCM of 841,9390

Lowest Common Multiple of 841,9390 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7896990

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7896990

Therefore, the GCF of Fractions 7492/841,3859/9390 is 1/7896990

Least Common Multiple of 841,9390 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 841,9390 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(841,9390) = 1

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

GCF(841,9390) x common factors =1 x 1 = 1

LCM(841,9390) = ( 841 × 9390 ) / 1

LCM(841,9390) = 7896990 / 1

LCM(841,9390) = 7896990

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 7492/841, 3859/9390

1. What is the HCF of 7492,3859?

The HCF of 7492,3859 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 7492/841, 3859/9390?

Answer: GCF of Numerators as per given numbers 7492/841, 3859/9390 is

GCF of Numerators i.e. for 7492,3859 is 1

LCM of denominators i.e. for 841,9390 is 7896990.

Thus, GCF of Fractions is 1/7896990.Finally, GCF of Fractions for 7492/841, 3859/9390 is 1/7896990.