How to Find GCF of 4498/392, 5222/4324?

GCF of 4498/392, 5222/4324

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 4498/392, 5222/4324 i.e 2/423752 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4498/392, 5222/4324.

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 4498/392,5222/4324?

Given fractions are 4498/392,5222/4324

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 4498/392,5222/4324, numerators are 4498,5222

Denominators are 392,4324

The GCF of 4498,5222 is 2 .

LCM of 392,4324 is 423752.

The greatest common factor of 4498/392,5222/4324 = [GCF of 4498,5222]/[LCM of 392,4324]= 2/423752

Therefore, the GCF of 4498/392,5222/4324 is 2/423752.

Greatest Common Factor of 4498,5222

To find the highest common factor of 4498,5222, we have to find the factors of both numbers and list the highest common factor.

The factors of 4498 are 1, 2, 13, 26, 173, 346, 2249, 4498

The factors of 5222 are 1, 2, 7, 14, 373, 746, 2611, 5222

The HCF of 4498,5222 is 2.

Lets's calculate GCF of 4498,5222

Greatest Common Factor (GCF) of 4498,5222 By Common Division

2	4498, 5222
	2249, 2611

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 4498,5222 By Matching Biggest Common Factor Method

Now, list down the factors of 4498

1,2,13,26,173,346,2249,4498

Now, list down the factors of 5222

1,2,7,14,373,746,2611,5222

Greatest Common Factor

We found the factors 4498,5222 . The biggest common factor number is the GCF number.
So the greatest common factor 4498,5222 is 2.

Lets's calculate LCM of 392,4324

Lowest Common Multiple of 392,4324 using Common Division

2	392, 4324
2	196, 2162
	98, 1081

∴ So the LCM of the given numbers is 2 x 2 x 98 x 1081 = 423752

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/423752

Therefore, the GCF of Fractions 4498/392,5222/4324 is 2/423752

Least Common Multiple of 392,4324 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 392,4324 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(392,4324) = 4

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

GCF(392,4324) x common factors =4 x 1 = 4

LCM(392,4324) = ( 392 × 4324 ) / 4

LCM(392,4324) = 1695008 / 4

LCM(392,4324) = 423752

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FAQs on GCF of Fractions of 4498/392, 5222/4324

1. What is the HCF of 4498,5222?

The HCF of 4498,5222 is 2

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 4498/392, 5222/4324?

Answer: GCF of Numerators as per given numbers 4498/392, 5222/4324 is

GCF of Numerators i.e. for 4498,5222 is 2

LCM of denominators i.e. for 392,4324 is 423752.

Thus, GCF of Fractions is 2/423752.Finally, GCF of Fractions for 4498/392, 5222/4324 is 2/423752.