How to Find GCF of 7477/277, 1050/2359?

GCF of 7477/277, 1050/2359

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 7477/277, 1050/2359 i.e 1/653443 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7477/277, 1050/2359.

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 7477/277,1050/2359?

Given fractions are 7477/277,1050/2359

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 7477/277,1050/2359, numerators are 7477,1050

Denominators are 277,2359

The GCF of 7477,1050 is 1 .

LCM of 277,2359 is 653443.

The greatest common factor of 7477/277,1050/2359 = [GCF of 7477,1050]/[LCM of 277,2359]= 1/653443

Therefore, the GCF of 7477/277,1050/2359 is 1/653443.

Greatest Common Factor of 7477,1050

To find the highest common factor of 7477,1050, we have to find the factors of both numbers and list the highest common factor.

The factors of 7477 are 1, 7477

The factors of 1050 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 50, 70, 75, 105, 150, 175, 210, 350, 525, 1050

The HCF of 7477,1050 is 1.

Lets's calculate GCF of 7477,1050

Greatest Common Factor (GCF) of 7477,1050 By Common Division

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

Greatest Common Factor of 7477,1050 By Matching Biggest Common Factor Method

Now, list down the factors of 7477

1,7477

Now, list down the factors of 1050

1,2,3,5,6,7,10,14,15,21,25,30,35,42,50,70,75,105,150,175,210,350,525,1050

Greatest Common Factor

We found the factors 7477,1050 . The biggest common factor number is the GCF number.
So the greatest common factor 7477,1050 is 1.

Lets's calculate LCM of 277,2359

Lowest Common Multiple of 277,2359 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 653443

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/653443

Therefore, the GCF of Fractions 7477/277,1050/2359 is 1/653443

Least Common Multiple of 277,2359 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 277,2359 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(277,2359) = 1

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

GCF(277,2359) x common factors =1 x 1 = 1

LCM(277,2359) = ( 277 × 2359 ) / 1

LCM(277,2359) = 653443 / 1

LCM(277,2359) = 653443

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FAQs on GCF of Fractions of 7477/277, 1050/2359

1. What is the HCF of 7477,1050?

The HCF of 7477,1050 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 7477/277, 1050/2359?

Answer: GCF of Numerators as per given numbers 7477/277, 1050/2359 is

GCF of Numerators i.e. for 7477,1050 is 1

LCM of denominators i.e. for 277,2359 is 653443.

Thus, GCF of Fractions is 1/653443.Finally, GCF of Fractions for 7477/277, 1050/2359 is 1/653443.