How to Find GCF of 3257/925, 5046/3150?

GCF of 3257/925, 5046/3150

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 3257/925, 5046/3150 i.e 1/116550 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3257/925, 5046/3150.

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 3257/925,5046/3150?

Given fractions are 3257/925,5046/3150

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 3257/925,5046/3150, numerators are 3257,5046

Denominators are 925,3150

The GCF of 3257,5046 is 1 .

LCM of 925,3150 is 116550.

The greatest common factor of 3257/925,5046/3150 = [GCF of 3257,5046]/[LCM of 925,3150]= 1/116550

Therefore, the GCF of 3257/925,5046/3150 is 1/116550.

Greatest Common Factor of 3257,5046

To find the highest common factor of 3257,5046, we have to find the factors of both numbers and list the highest common factor.

The factors of 3257 are 1, 3257

The factors of 5046 are 1, 2, 3, 6, 29, 58, 87, 174, 841, 1682, 2523, 5046

The HCF of 3257,5046 is 1.

Lets's calculate GCF of 3257,5046

Greatest Common Factor (GCF) of 3257,5046 By Common Division

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

Greatest Common Factor of 3257,5046 By Matching Biggest Common Factor Method

Now, list down the factors of 3257

1,3257

Now, list down the factors of 5046

1,2,3,6,29,58,87,174,841,1682,2523,5046

Greatest Common Factor

We found the factors 3257,5046 . The biggest common factor number is the GCF number.
So the greatest common factor 3257,5046 is 1.

Lets's calculate LCM of 925,3150

Lowest Common Multiple of 925,3150 using Common Division

5	925, 3150
5	185, 630
	37, 126

∴ So the LCM of the given numbers is 5 x 5 x 37 x 126 = 116550

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/116550

Therefore, the GCF of Fractions 3257/925,5046/3150 is 1/116550

Least Common Multiple of 925,3150 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 925,3150 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(925,3150) = 25

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

GCF(925,3150) x common factors =25 x 1 = 25

LCM(925,3150) = ( 925 × 3150 ) / 25

LCM(925,3150) = 2913750 / 25

LCM(925,3150) = 116550

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 3257/925, 5046/3150

1. What is the HCF of 3257,5046?

The HCF of 3257,5046 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 3257/925, 5046/3150?

Answer: GCF of Numerators as per given numbers 3257/925, 5046/3150 is

GCF of Numerators i.e. for 3257,5046 is 1

LCM of denominators i.e. for 925,3150 is 116550.

Thus, GCF of Fractions is 1/116550.Finally, GCF of Fractions for 3257/925, 5046/3150 is 1/116550.