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GCF of 2505/751, 1792/1916

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 2505/751, 1792/1916 i.e 1/1438916 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2505/751, 1792/1916.

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 2505/751,1792/1916?

Given fractions are 2505/751,1792/1916

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 2505/751,1792/1916, numerators are 2505,1792

Denominators are 751,1916

The GCF of 2505,1792 is 1 .

LCM of 751,1916 is 1438916.

The greatest common factor of 2505/751,1792/1916 = [GCF of 2505,1792]/[LCM of 751,1916]= 1/1438916

Therefore, the GCF of 2505/751,1792/1916 is 1/1438916.

Greatest Common Factor of 2505,1792

To find the highest common factor of 2505,1792, we have to find the factors of both numbers and list the highest common factor.

The factors of 2505 are 1, 3, 5, 15, 167, 501, 835, 2505

The factors of 1792 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 256, 448, 896, 1792

The HCF of 2505,1792 is 1.

Lets's calculate GCF of 2505,1792

Greatest Common Factor (GCF) of 2505,1792 By Common Division

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

Greatest Common Factor of 2505,1792 By Matching Biggest Common Factor Method

Greatest Common Factor of 2505,1792 By Matching Biggest Common Factor Method

Now, list down the factors of 2505

:

1,3,5,15,167,501,835,2505

Now, list down the factors of 1792

:

1,2,4,7,8,14,16,28,32,56,64,112,128,224,256,448,896,1792

Greatest Common Factor

We found the factors 2505,1792 . The biggest common factor number is the GCF number.
So the greatest common factor 2505,1792 is 1.


Lets's calculate LCM of 751,1916

Lowest Common Multiple of 751,1916 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1438916

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1438916

Therefore, the GCF of Fractions 2505/751,1792/1916 is 1/1438916

Least Common Multiple of 751,1916 with GCF Formula

Least Common Multiple of 751,1916 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 751,1916 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(751,1916) = 1

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

GCF(751,1916) x common factors =1 x 1 = 1

LCM(751,1916) = ( 751 × 1916 ) / 1

LCM(751,1916) = 1438916 / 1

LCM(751,1916) = 1438916


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 2505/751, 1792/1916

1. What is the HCF of 2505,1792?

The HCF of 2505,1792 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 2505/751, 1792/1916?

Answer: GCF of Numerators as per given numbers 2505/751, 1792/1916 is

GCF of Numerators i.e. for 2505,1792 is 1

LCM of denominators i.e. for 751,1916 is 1438916.

Thus, GCF of Fractions is 1/1438916.Finally, GCF of Fractions for 2505/751, 1792/1916 is 1/1438916.