How to Find GCF of 3075/92, 7252/854?

GCF of 3075/92, 7252/854

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 3075/92, 7252/854 i.e 1/39284 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3075/92, 7252/854.

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 3075/92,7252/854?

Given fractions are 3075/92,7252/854

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 3075/92,7252/854, numerators are 3075,7252

Denominators are 92,854

The GCF of 3075,7252 is 1 .

LCM of 92,854 is 39284.

The greatest common factor of 3075/92,7252/854 = [GCF of 3075,7252]/[LCM of 92,854]= 1/39284

Therefore, the GCF of 3075/92,7252/854 is 1/39284.

Greatest Common Factor of 3075,7252

To find the highest common factor of 3075,7252, we have to find the factors of both numbers and list the highest common factor.

The factors of 3075 are 1, 3, 5, 15, 25, 41, 75, 123, 205, 615, 1025, 3075

The factors of 7252 are 1, 2, 4, 7, 14, 28, 37, 49, 74, 98, 148, 196, 259, 518, 1036, 1813, 3626, 7252

The HCF of 3075,7252 is 1.

Lets's calculate GCF of 3075,7252

Greatest Common Factor (GCF) of 3075,7252 By Common Division

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

Greatest Common Factor of 3075,7252 By Matching Biggest Common Factor Method

Now, list down the factors of 3075

1,3,5,15,25,41,75,123,205,615,1025,3075

Now, list down the factors of 7252

1,2,4,7,14,28,37,49,74,98,148,196,259,518,1036,1813,3626,7252

Greatest Common Factor

We found the factors 3075,7252 . The biggest common factor number is the GCF number.
So the greatest common factor 3075,7252 is 1.

Lets's calculate LCM of 92,854

Lowest Common Multiple of 92,854 using Common Division

2	92, 854
	46, 427

∴ So the LCM of the given numbers is 2 x 46 x 427 = 39284

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39284

Therefore, the GCF of Fractions 3075/92,7252/854 is 1/39284

Least Common Multiple of 92,854 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 92,854 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,854) = 2

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

GCF(92,854) x common factors =2 x 1 = 2

LCM(92,854) = ( 92 × 854 ) / 2

LCM(92,854) = 78568 / 2

LCM(92,854) = 39284

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FAQs on GCF of Fractions of 3075/92, 7252/854

1. What is the HCF of 3075,7252?

The HCF of 3075,7252 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 3075/92, 7252/854?

Answer: GCF of Numerators as per given numbers 3075/92, 7252/854 is

GCF of Numerators i.e. for 3075,7252 is 1

LCM of denominators i.e. for 92,854 is 39284.

Thus, GCF of Fractions is 1/39284.Finally, GCF of Fractions for 3075/92, 7252/854 is 1/39284.