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GCF of 901/675, 7829/360

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 901/675, 7829/360 i.e 1/5400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 901/675, 7829/360.

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 901/675,7829/360?

Given fractions are 901/675,7829/360

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 901/675,7829/360, numerators are 901,7829

Denominators are 675,360

The GCF of 901,7829 is 1 .

LCM of 675,360 is 5400.

The greatest common factor of 901/675,7829/360 = [GCF of 901,7829]/[LCM of 675,360]= 1/5400

Therefore, the GCF of 901/675,7829/360 is 1/5400.

Greatest Common Factor of 901,7829

To find the highest common factor of 901,7829, we have to find the factors of both numbers and list the highest common factor.

The factors of 901 are 1, 17, 53, 901

The factors of 7829 are 1, 7829

The HCF of 901,7829 is 1.

Lets's calculate GCF of 901,7829

Greatest Common Factor (GCF) of 901,7829 By Common Division

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

Greatest Common Factor of 901,7829 By Matching Biggest Common Factor Method

Greatest Common Factor of 901,7829 By Matching Biggest Common Factor Method

Now, list down the factors of 901

:

1,17,53,901

Now, list down the factors of 7829

:

1,7829

Greatest Common Factor

We found the factors 901,7829 . The biggest common factor number is the GCF number.
So the greatest common factor 901,7829 is 1.

Lets's calculate LCM of 675,360

Lowest Common Multiple of 675,360 using Common Division

3 675, 360
3 225, 120
5 75, 40
15, 8

∴ So the LCM of the given numbers is 3 x 3 x 5 x 15 x 8 = 5400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5400

Therefore, the GCF of Fractions 901/675,7829/360 is 1/5400

Least Common Multiple of 675,360 with GCF Formula

Least Common Multiple of 675,360 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 675,360 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(675,360) = 45

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

GCF(675,360) x common factors =45 x 1 = 45

LCM(675,360) = ( 675 × 360 ) / 45

LCM(675,360) = 243000 / 45

LCM(675,360) = 5400


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FAQs on GCF of Fractions of 901/675, 7829/360

1. What is the HCF of 901,7829?

The HCF of 901,7829 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 901/675, 7829/360?

Answer: GCF of Numerators as per given numbers 901/675, 7829/360 is

GCF of Numerators i.e. for 901,7829 is 1

LCM of denominators i.e. for 675,360 is 5400.

Thus, GCF of Fractions is 1/5400.Finally, GCF of Fractions for 901/675, 7829/360 is 1/5400.