How to Find GCF of 2833/359, 7451/5052?

GCF of 2833/359, 7451/5052

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 2833/359, 7451/5052 i.e 1/1813668 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2833/359, 7451/5052.

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 2833/359,7451/5052?

Given fractions are 2833/359,7451/5052

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 2833/359,7451/5052, numerators are 2833,7451

Denominators are 359,5052

The GCF of 2833,7451 is 1 .

LCM of 359,5052 is 1813668.

The greatest common factor of 2833/359,7451/5052 = [GCF of 2833,7451]/[LCM of 359,5052]= 1/1813668

Therefore, the GCF of 2833/359,7451/5052 is 1/1813668.

Greatest Common Factor of 2833,7451

To find the highest common factor of 2833,7451, we have to find the factors of both numbers and list the highest common factor.

The factors of 2833 are 1, 2833

The factors of 7451 are 1, 7451

The HCF of 2833,7451 is 1.

Lets's calculate GCF of 2833,7451

Greatest Common Factor (GCF) of 2833,7451 By Common Division

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

Greatest Common Factor of 2833,7451 By Matching Biggest Common Factor Method

Now, list down the factors of 2833

1,2833

Now, list down the factors of 7451

1,7451

Greatest Common Factor

We found the factors 2833,7451 . The biggest common factor number is the GCF number.
So the greatest common factor 2833,7451 is 1.

Lets's calculate LCM of 359,5052

Lowest Common Multiple of 359,5052 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1813668

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1813668

Therefore, the GCF of Fractions 2833/359,7451/5052 is 1/1813668

Least Common Multiple of 359,5052 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 359,5052 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(359,5052) = 1

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

GCF(359,5052) x common factors =1 x 1 = 1

LCM(359,5052) = ( 359 × 5052 ) / 1

LCM(359,5052) = 1813668 / 1

LCM(359,5052) = 1813668

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FAQs on GCF of Fractions of 2833/359, 7451/5052

1. What is the HCF of 2833,7451?

The HCF of 2833,7451 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 2833/359, 7451/5052?

Answer: GCF of Numerators as per given numbers 2833/359, 7451/5052 is

GCF of Numerators i.e. for 2833,7451 is 1

LCM of denominators i.e. for 359,5052 is 1813668.

Thus, GCF of Fractions is 1/1813668.Finally, GCF of Fractions for 2833/359, 7451/5052 is 1/1813668.