How to Find GCF of 4100/334, 6224/9056?

GCF of 4100/334, 6224/9056

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 4100/334, 6224/9056 i.e 4/1512352 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4100/334, 6224/9056.

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 4100/334,6224/9056?

Given fractions are 4100/334,6224/9056

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 4100/334,6224/9056, numerators are 4100,6224

Denominators are 334,9056

The GCF of 4100,6224 is 4 .

LCM of 334,9056 is 1512352.

The greatest common factor of 4100/334,6224/9056 = [GCF of 4100,6224]/[LCM of 334,9056]= 4/1512352

Therefore, the GCF of 4100/334,6224/9056 is 4/1512352.

Greatest Common Factor of 4100,6224

To find the highest common factor of 4100,6224, we have to find the factors of both numbers and list the highest common factor.

The factors of 4100 are 1, 2, 4, 5, 10, 20, 25, 41, 50, 82, 100, 164, 205, 410, 820, 1025, 2050, 4100

The factors of 6224 are 1, 2, 4, 8, 16, 389, 778, 1556, 3112, 6224

The HCF of 4100,6224 is 4.

Lets's calculate GCF of 4100,6224

Greatest Common Factor (GCF) of 4100,6224 By Common Division

2	4100, 6224
2	2050, 3112
	1025, 1556

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 4100,6224 By Matching Biggest Common Factor Method

Now, list down the factors of 4100

1,2,4,5,10,20,25,41,50,82,100,164,205,410,820,1025,2050,4100

Now, list down the factors of 6224

1,2,4,8,16,389,778,1556,3112,6224

Greatest Common Factor

We found the factors 4100,6224 . The biggest common factor number is the GCF number.
So the greatest common factor 4100,6224 is 4.

Lets's calculate LCM of 334,9056

Lowest Common Multiple of 334,9056 using Common Division

2	334, 9056
	167, 4528

∴ So the LCM of the given numbers is 2 x 167 x 4528 = 1512352

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1512352

Therefore, the GCF of Fractions 4100/334,6224/9056 is 4/1512352

Least Common Multiple of 334,9056 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 334,9056 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(334,9056) = 2

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

GCF(334,9056) x common factors =2 x 1 = 2

LCM(334,9056) = ( 334 × 9056 ) / 2

LCM(334,9056) = 3024704 / 2

LCM(334,9056) = 1512352

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 4100/334, 6224/9056

1. What is the HCF of 4100,6224?

The HCF of 4100,6224 is 4

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 4100/334, 6224/9056?

Answer: GCF of Numerators as per given numbers 4100/334, 6224/9056 is

GCF of Numerators i.e. for 4100,6224 is 4

LCM of denominators i.e. for 334,9056 is 1512352.

Thus, GCF of Fractions is 4/1512352.Finally, GCF of Fractions for 4100/334, 6224/9056 is 4/1512352.