How to Find GCF of 4537/248, 4025/5300?

GCF of 4537/248, 4025/5300

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 4537/248, 4025/5300 i.e 1/328600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4537/248, 4025/5300.

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 4537/248,4025/5300?

Given fractions are 4537/248,4025/5300

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 4537/248,4025/5300, numerators are 4537,4025

Denominators are 248,5300

The GCF of 4537,4025 is 1 .

LCM of 248,5300 is 328600.

The greatest common factor of 4537/248,4025/5300 = [GCF of 4537,4025]/[LCM of 248,5300]= 1/328600

Therefore, the GCF of 4537/248,4025/5300 is 1/328600.

Greatest Common Factor of 4537,4025

To find the highest common factor of 4537,4025, we have to find the factors of both numbers and list the highest common factor.

The factors of 4537 are 1, 13, 349, 4537

The factors of 4025 are 1, 5, 7, 23, 25, 35, 115, 161, 175, 575, 805, 4025

The HCF of 4537,4025 is 1.

Lets's calculate GCF of 4537,4025

Greatest Common Factor (GCF) of 4537,4025 By Common Division

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

Greatest Common Factor of 4537,4025 By Matching Biggest Common Factor Method

Now, list down the factors of 4537

1,13,349,4537

Now, list down the factors of 4025

1,5,7,23,25,35,115,161,175,575,805,4025

Greatest Common Factor

We found the factors 4537,4025 . The biggest common factor number is the GCF number.
So the greatest common factor 4537,4025 is 1.

Lets's calculate LCM of 248,5300

Lowest Common Multiple of 248,5300 using Common Division

2	248, 5300
2	124, 2650
	62, 1325

∴ So the LCM of the given numbers is 2 x 2 x 62 x 1325 = 328600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/328600

Therefore, the GCF of Fractions 4537/248,4025/5300 is 1/328600

Least Common Multiple of 248,5300 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 248,5300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(248,5300) = 4

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

GCF(248,5300) x common factors =4 x 1 = 4

LCM(248,5300) = ( 248 × 5300 ) / 4

LCM(248,5300) = 1314400 / 4

LCM(248,5300) = 328600

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FAQs on GCF of Fractions of 4537/248, 4025/5300

1. What is the HCF of 4537,4025?

The HCF of 4537,4025 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 4537/248, 4025/5300?

Answer: GCF of Numerators as per given numbers 4537/248, 4025/5300 is

GCF of Numerators i.e. for 4537,4025 is 1

LCM of denominators i.e. for 248,5300 is 328600.

Thus, GCF of Fractions is 1/328600.Finally, GCF of Fractions for 4537/248, 4025/5300 is 1/328600.