How to Find GCF of 5608/235, 6528/5168?

GCF of 5608/235, 6528/5168

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 5608/235, 6528/5168 i.e 8/1214480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5608/235, 6528/5168.

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 5608/235,6528/5168?

Given fractions are 5608/235,6528/5168

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 5608/235,6528/5168, numerators are 5608,6528

Denominators are 235,5168

The GCF of 5608,6528 is 8 .

LCM of 235,5168 is 1214480.

The greatest common factor of 5608/235,6528/5168 = [GCF of 5608,6528]/[LCM of 235,5168]= 8/1214480

Therefore, the GCF of 5608/235,6528/5168 is 8/1214480.

Greatest Common Factor of 5608,6528

To find the highest common factor of 5608,6528, we have to find the factors of both numbers and list the highest common factor.

The factors of 5608 are 1, 2, 4, 8, 701, 1402, 2804, 5608

The factors of 6528 are 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 48, 51, 64, 68, 96, 102, 128, 136, 192, 204, 272, 384, 408, 544, 816, 1088, 1632, 2176, 3264, 6528

The HCF of 5608,6528 is 8.

Lets's calculate GCF of 5608,6528

Greatest Common Factor (GCF) of 5608,6528 By Common Division

2	5608, 6528
2	2804, 3264
2	1402, 1632
	701, 816

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

Greatest Common Factor of 5608,6528 By Matching Biggest Common Factor Method

Now, list down the factors of 5608

1,2,4,8,701,1402,2804,5608

Now, list down the factors of 6528

1,2,3,4,6,8,12,16,17,24,32,34,48,51,64,68,96,102,128,136,192,204,272,384,408,544,816,1088,1632,2176,3264,6528

Greatest Common Factor

We found the factors 5608,6528 . The biggest common factor number is the GCF number.
So the greatest common factor 5608,6528 is 8.

Lets's calculate LCM of 235,5168

Lowest Common Multiple of 235,5168 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1214480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/1214480

Therefore, the GCF of Fractions 5608/235,6528/5168 is 8/1214480

Least Common Multiple of 235,5168 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 235,5168 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(235,5168) = 1

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

GCF(235,5168) x common factors =1 x 1 = 1

LCM(235,5168) = ( 235 × 5168 ) / 1

LCM(235,5168) = 1214480 / 1

LCM(235,5168) = 1214480

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FAQs on GCF of Fractions of 5608/235, 6528/5168

1. What is the HCF of 5608,6528?

The HCF of 5608,6528 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 5608/235, 6528/5168?

Answer: GCF of Numerators as per given numbers 5608/235, 6528/5168 is

GCF of Numerators i.e. for 5608,6528 is 8

LCM of denominators i.e. for 235,5168 is 1214480.

Thus, GCF of Fractions is 8/1214480.Finally, GCF of Fractions for 5608/235, 6528/5168 is 8/1214480.