How to Find GCF of 624/953, 143/922?

GCF of 624/953, 143/922

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 624/953, 143/922 i.e 13/878666 easily. The following is the detailed procedure to determine the greatest common factor of fractions 624/953, 143/922.

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 624/953,143/922?

Given fractions are 624/953,143/922

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 624/953,143/922, numerators are 624,143

Denominators are 953,922

The GCF of 624,143 is 13 .

LCM of 953,922 is 878666.

The greatest common factor of 624/953,143/922 = [GCF of 624,143]/[LCM of 953,922]= 13/878666

Therefore, the GCF of 624/953,143/922 is 13/878666.

Greatest Common Factor of 624,143

To find the highest common factor of 624,143, 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 143 are 1, 11, 13, 143

The HCF of 624,143 is 13.

Lets's calculate GCF of 624,143

Greatest Common Factor (GCF) of 624,143 By Common Division

13	624, 143
	48, 11

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 624,143 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 143

1,11,13,143

Greatest Common Factor

We found the factors 624,143 . The biggest common factor number is the GCF number.
So the greatest common factor 624,143 is 13.

Lets's calculate LCM of 953,922

Lowest Common Multiple of 953,922 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 878666

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/878666

Therefore, the GCF of Fractions 624/953,143/922 is 13/878666

Least Common Multiple of 953,922 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 953,922 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(953,922) = 1

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

GCF(953,922) x common factors =1 x 1 = 1

LCM(953,922) = ( 953 × 922 ) / 1

LCM(953,922) = 878666 / 1

LCM(953,922) = 878666

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FAQs on GCF of Fractions of 624/953, 143/922

1. What is the HCF of 624,143?

The HCF of 624,143 is 13

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 624/953, 143/922?

Answer: GCF of Numerators as per given numbers 624/953, 143/922 is

GCF of Numerators i.e. for 624,143 is 13

LCM of denominators i.e. for 953,922 is 878666.

Thus, GCF of Fractions is 13/878666.Finally, GCF of Fractions for 624/953, 143/922 is 13/878666.