How to Find GCF of 4456/265, 8352/1653?

GCF of 4456/265, 8352/1653

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 4456/265, 8352/1653 i.e 8/438045 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4456/265, 8352/1653.

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 4456/265,8352/1653?

Given fractions are 4456/265,8352/1653

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 4456/265,8352/1653, numerators are 4456,8352

Denominators are 265,1653

The GCF of 4456,8352 is 8 .

LCM of 265,1653 is 438045.

The greatest common factor of 4456/265,8352/1653 = [GCF of 4456,8352]/[LCM of 265,1653]= 8/438045

Therefore, the GCF of 4456/265,8352/1653 is 8/438045.

Greatest Common Factor of 4456,8352

To find the highest common factor of 4456,8352, we have to find the factors of both numbers and list the highest common factor.

The factors of 4456 are 1, 2, 4, 8, 557, 1114, 2228, 4456

The factors of 8352 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 29, 32, 36, 48, 58, 72, 87, 96, 116, 144, 174, 232, 261, 288, 348, 464, 522, 696, 928, 1044, 1392, 2088, 2784, 4176, 8352

The HCF of 4456,8352 is 8.

Lets's calculate GCF of 4456,8352

Greatest Common Factor (GCF) of 4456,8352 By Common Division

2	4456, 8352
2	2228, 4176
2	1114, 2088
	557, 1044

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 4456,8352 By Matching Biggest Common Factor Method

Now, list down the factors of 4456

1,2,4,8,557,1114,2228,4456

Now, list down the factors of 8352

1,2,3,4,6,8,9,12,16,18,24,29,32,36,48,58,72,87,96,116,144,174,232,261,288,348,464,522,696,928,1044,1392,2088,2784,4176,8352

Greatest Common Factor

We found the factors 4456,8352 . The biggest common factor number is the GCF number.
So the greatest common factor 4456,8352 is 8.

Lets's calculate LCM of 265,1653

Lowest Common Multiple of 265,1653 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 438045

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/438045

Therefore, the GCF of Fractions 4456/265,8352/1653 is 8/438045

Least Common Multiple of 265,1653 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 265,1653 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(265,1653) = 1

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

GCF(265,1653) x common factors =1 x 1 = 1

LCM(265,1653) = ( 265 × 1653 ) / 1

LCM(265,1653) = 438045 / 1

LCM(265,1653) = 438045

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FAQs on GCF of Fractions of 4456/265, 8352/1653

1. What is the HCF of 4456,8352?

The HCF of 4456,8352 is 8

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 4456/265, 8352/1653?

Answer: GCF of Numerators as per given numbers 4456/265, 8352/1653 is

GCF of Numerators i.e. for 4456,8352 is 8

LCM of denominators i.e. for 265,1653 is 438045.

Thus, GCF of Fractions is 8/438045.Finally, GCF of Fractions for 4456/265, 8352/1653 is 8/438045.