How to Find GCF of 2499/918, 5338/7522?

GCF of 2499/918, 5338/7522

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 2499/918, 5338/7522 i.e 17/3452598 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2499/918, 5338/7522.

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 2499/918,5338/7522?

Given fractions are 2499/918,5338/7522

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 2499/918,5338/7522, numerators are 2499,5338

Denominators are 918,7522

The GCF of 2499,5338 is 17 .

LCM of 918,7522 is 3452598.

The greatest common factor of 2499/918,5338/7522 = [GCF of 2499,5338]/[LCM of 918,7522]= 17/3452598

Therefore, the GCF of 2499/918,5338/7522 is 17/3452598.

Greatest Common Factor of 2499,5338

To find the highest common factor of 2499,5338, we have to find the factors of both numbers and list the highest common factor.

The factors of 2499 are 1, 3, 7, 17, 21, 49, 51, 119, 147, 357, 833, 2499

The factors of 5338 are 1, 2, 17, 34, 157, 314, 2669, 5338

The HCF of 2499,5338 is 17.

Lets's calculate GCF of 2499,5338

Greatest Common Factor (GCF) of 2499,5338 By Common Division

17	2499, 5338
	147, 314

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 2499,5338 By Matching Biggest Common Factor Method

Now, list down the factors of 2499

1,3,7,17,21,49,51,119,147,357,833,2499

Now, list down the factors of 5338

1,2,17,34,157,314,2669,5338

Greatest Common Factor

We found the factors 2499,5338 . The biggest common factor number is the GCF number.
So the greatest common factor 2499,5338 is 17.

Lets's calculate LCM of 918,7522

Lowest Common Multiple of 918,7522 using Common Division

2	918, 7522
	459, 3761

∴ So the LCM of the given numbers is 2 x 459 x 3761 = 3452598

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/3452598

Therefore, the GCF of Fractions 2499/918,5338/7522 is 17/3452598

Least Common Multiple of 918,7522 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 918,7522 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(918,7522) = 2

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

GCF(918,7522) x common factors =2 x 1 = 2

LCM(918,7522) = ( 918 × 7522 ) / 2

LCM(918,7522) = 6905196 / 2

LCM(918,7522) = 3452598

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2499/918, 5338/7522

1. What is the HCF of 2499,5338?

The HCF of 2499,5338 is 17

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 2499/918, 5338/7522?

Answer: GCF of Numerators as per given numbers 2499/918, 5338/7522 is

GCF of Numerators i.e. for 2499,5338 is 17

LCM of denominators i.e. for 918,7522 is 3452598.

Thus, GCF of Fractions is 17/3452598.Finally, GCF of Fractions for 2499/918, 5338/7522 is 17/3452598.