How to Find GCF of 5825/253, 2464/671?

GCF of 5825/253, 2464/671

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 5825/253, 2464/671 i.e 1/15433 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5825/253, 2464/671.

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 5825/253,2464/671?

Given fractions are 5825/253,2464/671

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 5825/253,2464/671, numerators are 5825,2464

Denominators are 253,671

The GCF of 5825,2464 is 1 .

LCM of 253,671 is 15433.

The greatest common factor of 5825/253,2464/671 = [GCF of 5825,2464]/[LCM of 253,671]= 1/15433

Therefore, the GCF of 5825/253,2464/671 is 1/15433.

Greatest Common Factor of 5825,2464

To find the highest common factor of 5825,2464, we have to find the factors of both numbers and list the highest common factor.

The factors of 5825 are 1, 5, 25, 233, 1165, 5825

The factors of 2464 are 1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 32, 44, 56, 77, 88, 112, 154, 176, 224, 308, 352, 616, 1232, 2464

The HCF of 5825,2464 is 1.

Lets's calculate GCF of 5825,2464

Greatest Common Factor (GCF) of 5825,2464 By Common Division

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

Greatest Common Factor of 5825,2464 By Matching Biggest Common Factor Method

Now, list down the factors of 5825

1,5,25,233,1165,5825

Now, list down the factors of 2464

1,2,4,7,8,11,14,16,22,28,32,44,56,77,88,112,154,176,224,308,352,616,1232,2464

Greatest Common Factor

We found the factors 5825,2464 . The biggest common factor number is the GCF number.
So the greatest common factor 5825,2464 is 1.

Lets's calculate LCM of 253,671

Lowest Common Multiple of 253,671 using Common Division

11	253, 671
	23, 61

∴ So the LCM of the given numbers is 11 x 23 x 61 = 15433

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15433

Therefore, the GCF of Fractions 5825/253,2464/671 is 1/15433

Least Common Multiple of 253,671 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 253,671 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(253,671) = 11

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

GCF(253,671) x common factors =11 x 1 = 11

LCM(253,671) = ( 253 × 671 ) / 11

LCM(253,671) = 169763 / 11

LCM(253,671) = 15433

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FAQs on GCF of Fractions of 5825/253, 2464/671

1. What is the HCF of 5825,2464?

The HCF of 5825,2464 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 5825/253, 2464/671?

Answer: GCF of Numerators as per given numbers 5825/253, 2464/671 is

GCF of Numerators i.e. for 5825,2464 is 1

LCM of denominators i.e. for 253,671 is 15433.

Thus, GCF of Fractions is 1/15433.Finally, GCF of Fractions for 5825/253, 2464/671 is 1/15433.