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GCF of 7508/981, 3845/278

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 7508/981, 3845/278 i.e 1/272718 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7508/981, 3845/278.

Enter two or more fractions separated by "commas"

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

GCF of:

What is the GCF of 7508/981,3845/278?

Given fractions are 7508/981,3845/278

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 7508/981,3845/278, numerators are 7508,3845

Denominators are 981,278

The GCF of 7508,3845 is 1 .

LCM of 981,278 is 272718.

The greatest common factor of 7508/981,3845/278 = [GCF of 7508,3845]/[LCM of 981,278]= 1/272718

Therefore, the GCF of 7508/981,3845/278 is 1/272718.

Greatest Common Factor of 7508,3845

To find the highest common factor of 7508,3845, we have to find the factors of both numbers and list the highest common factor.

The factors of 7508 are 1, 2, 4, 1877, 3754, 7508

The factors of 3845 are 1, 5, 769, 3845

The HCF of 7508,3845 is 1.

Lets's calculate GCF of 7508,3845

Greatest Common Factor (GCF) of 7508,3845 By Common Division

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

Greatest Common Factor of 7508,3845 By Matching Biggest Common Factor Method

Greatest Common Factor of 7508,3845 By Matching Biggest Common Factor Method

Now, list down the factors of 7508

:

1,2,4,1877,3754,7508

Now, list down the factors of 3845

:

1,5,769,3845

Greatest Common Factor

We found the factors 7508,3845 . The biggest common factor number is the GCF number.
So the greatest common factor 7508,3845 is 1.


Lets's calculate LCM of 981,278

Lowest Common Multiple of 981,278 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 272718

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/272718

Therefore, the GCF of Fractions 7508/981,3845/278 is 1/272718

Least Common Multiple of 981,278 with GCF Formula

Least Common Multiple of 981,278 with GCF Formula

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

We need to calculate greatest common factor of 981,278 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(981,278) = 1

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

GCF(981,278) x common factors =1 x 1 = 1

LCM(981,278) = ( 981 × 278 ) / 1

LCM(981,278) = 272718 / 1

LCM(981,278) = 272718


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 7508/981, 3845/278

1. What is the HCF of 7508,3845?

The HCF of 7508,3845 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 7508/981, 3845/278?

Answer: GCF of Numerators as per given numbers 7508/981, 3845/278 is

GCF of Numerators i.e. for 7508,3845 is 1

LCM of denominators i.e. for 981,278 is 272718.

Thus, GCF of Fractions is 1/272718.Finally, GCF of Fractions for 7508/981, 3845/278 is 1/272718.