How to Find GCF of 2224/942, 4502/8320?

GCF of 2224/942, 4502/8320

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 2224/942, 4502/8320 i.e 2/3918720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2224/942, 4502/8320.

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 2224/942,4502/8320?

Given fractions are 2224/942,4502/8320

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 2224/942,4502/8320, numerators are 2224,4502

Denominators are 942,8320

The GCF of 2224,4502 is 2 .

LCM of 942,8320 is 3918720.

The greatest common factor of 2224/942,4502/8320 = [GCF of 2224,4502]/[LCM of 942,8320]= 2/3918720

Therefore, the GCF of 2224/942,4502/8320 is 2/3918720.

Greatest Common Factor of 2224,4502

To find the highest common factor of 2224,4502, we have to find the factors of both numbers and list the highest common factor.

The factors of 2224 are 1, 2, 4, 8, 16, 139, 278, 556, 1112, 2224

The factors of 4502 are 1, 2, 2251, 4502

The HCF of 2224,4502 is 2.

Lets's calculate GCF of 2224,4502

Greatest Common Factor (GCF) of 2224,4502 By Common Division

2	2224, 4502
	1112, 2251

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

Greatest Common Factor of 2224,4502 By Matching Biggest Common Factor Method

Now, list down the factors of 2224

1,2,4,8,16,139,278,556,1112,2224

Now, list down the factors of 4502

1,2,2251,4502

Greatest Common Factor

We found the factors 2224,4502 . The biggest common factor number is the GCF number.
So the greatest common factor 2224,4502 is 2.

Lets's calculate LCM of 942,8320

Lowest Common Multiple of 942,8320 using Common Division

2	942, 8320
	471, 4160

∴ So the LCM of the given numbers is 2 x 471 x 4160 = 3918720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3918720

Therefore, the GCF of Fractions 2224/942,4502/8320 is 2/3918720

Least Common Multiple of 942,8320 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 942,8320 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(942,8320) = 2

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

GCF(942,8320) x common factors =2 x 1 = 2

LCM(942,8320) = ( 942 × 8320 ) / 2

LCM(942,8320) = 7837440 / 2

LCM(942,8320) = 3918720

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2224/942, 4502/8320

1. What is the HCF of 2224,4502?

The HCF of 2224,4502 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 2224/942, 4502/8320?

Answer: GCF of Numerators as per given numbers 2224/942, 4502/8320 is

GCF of Numerators i.e. for 2224,4502 is 2

LCM of denominators i.e. for 942,8320 is 3918720.

Thus, GCF of Fractions is 2/3918720.Finally, GCF of Fractions for 2224/942, 4502/8320 is 2/3918720.