How to Find GCF of 624/28, 160/153?

GCF of 624/28, 160/153

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 624/28, 160/153 i.e 16/4284 easily. The following is the detailed procedure to determine the greatest common factor of fractions 624/28, 160/153.

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 624/28,160/153?

Given fractions are 624/28,160/153

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 624/28,160/153, numerators are 624,160

Denominators are 28,153

The GCF of 624,160 is 16 .

LCM of 28,153 is 4284.

The greatest common factor of 624/28,160/153 = [GCF of 624,160]/[LCM of 28,153]= 16/4284

Therefore, the GCF of 624/28,160/153 is 16/4284.

Greatest Common Factor of 624,160

To find the highest common factor of 624,160, we have to find the factors of both numbers and list the highest common factor.

The factors of 624 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

The factors of 160 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

The HCF of 624,160 is 16.

Lets's calculate GCF of 624,160

Greatest Common Factor (GCF) of 624,160 By Common Division

2	624, 160
2	312, 80
2	156, 40
2	78, 20
	39, 10

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 624,160 By Matching Biggest Common Factor Method

Now, list down the factors of 624

1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624

Now, list down the factors of 160

1,2,4,5,8,10,16,20,32,40,80,160

Greatest Common Factor

We found the factors 624,160 . The biggest common factor number is the GCF number.
So the greatest common factor 624,160 is 16.

Lets's calculate LCM of 28,153

Lowest Common Multiple of 28,153 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4284

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/4284

Therefore, the GCF of Fractions 624/28,160/153 is 16/4284

Least Common Multiple of 28,153 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 28,153 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,153) = 1

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

GCF(28,153) x common factors =1 x 1 = 1

LCM(28,153) = ( 28 × 153 ) / 1

LCM(28,153) = 4284 / 1

LCM(28,153) = 4284

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FAQs on GCF of Fractions of 624/28, 160/153

1. What is the HCF of 624,160?

The HCF of 624,160 is 16

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 624/28, 160/153?

Answer: GCF of Numerators as per given numbers 624/28, 160/153 is

GCF of Numerators i.e. for 624,160 is 16

LCM of denominators i.e. for 28,153 is 4284.

Thus, GCF of Fractions is 16/4284.Finally, GCF of Fractions for 624/28, 160/153 is 16/4284.