How to Find GCF of 4792/977, 2470/1115?

GCF of 4792/977, 2470/1115

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 4792/977, 2470/1115 i.e 2/1089355 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4792/977, 2470/1115.

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 4792/977,2470/1115?

Given fractions are 4792/977,2470/1115

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 4792/977,2470/1115, numerators are 4792,2470

Denominators are 977,1115

The GCF of 4792,2470 is 2 .

LCM of 977,1115 is 1089355.

The greatest common factor of 4792/977,2470/1115 = [GCF of 4792,2470]/[LCM of 977,1115]= 2/1089355

Therefore, the GCF of 4792/977,2470/1115 is 2/1089355.

Greatest Common Factor of 4792,2470

To find the highest common factor of 4792,2470, we have to find the factors of both numbers and list the highest common factor.

The factors of 4792 are 1, 2, 4, 8, 599, 1198, 2396, 4792

The factors of 2470 are 1, 2, 5, 10, 13, 19, 26, 38, 65, 95, 130, 190, 247, 494, 1235, 2470

The HCF of 4792,2470 is 2.

Lets's calculate GCF of 4792,2470

Greatest Common Factor (GCF) of 4792,2470 By Common Division

2	4792, 2470
	2396, 1235

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 4792,2470 By Matching Biggest Common Factor Method

Now, list down the factors of 4792

1,2,4,8,599,1198,2396,4792

Now, list down the factors of 2470

1,2,5,10,13,19,26,38,65,95,130,190,247,494,1235,2470

Greatest Common Factor

We found the factors 4792,2470 . The biggest common factor number is the GCF number.
So the greatest common factor 4792,2470 is 2.

Lets's calculate LCM of 977,1115

Lowest Common Multiple of 977,1115 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1089355

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1089355

Therefore, the GCF of Fractions 4792/977,2470/1115 is 2/1089355

Least Common Multiple of 977,1115 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 977,1115 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(977,1115) = 1

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

GCF(977,1115) x common factors =1 x 1 = 1

LCM(977,1115) = ( 977 × 1115 ) / 1

LCM(977,1115) = 1089355 / 1

LCM(977,1115) = 1089355

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 4792/977, 2470/1115

1. What is the HCF of 4792,2470?

The HCF of 4792,2470 is 2

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 4792/977, 2470/1115?

Answer: GCF of Numerators as per given numbers 4792/977, 2470/1115 is

GCF of Numerators i.e. for 4792,2470 is 2

LCM of denominators i.e. for 977,1115 is 1089355.

Thus, GCF of Fractions is 2/1089355.Finally, GCF of Fractions for 4792/977, 2470/1115 is 2/1089355.