GCF of 7643/156, 5352/9923
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7643/156, 5352/9923 i.e 1/1547988 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7643/156, 5352/9923.
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 7643/156,5352/9923?
Given fractions are 7643/156,5352/9923
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 7643/156,5352/9923, numerators are 7643,5352
Denominators are 156,9923
The GCF of 7643,5352 is 1 .
LCM of 156,9923 is 1547988.
The greatest common factor of 7643/156,5352/9923 = [GCF of 7643,5352]/[LCM of 156,9923]= 1/1547988
Therefore, the GCF of 7643/156,5352/9923 is 1/1547988.
To find the highest common factor of 7643,5352, we have to find the factors of both numbers and list the highest common factor.
The factors of 7643 are 1, 7643
The factors of 5352 are 1, 2, 3, 4, 6, 8, 12, 24, 223, 446, 669, 892, 1338, 1784, 2676, 5352
The HCF of 7643,5352 is 1.
Lets's calculate GCF of 7643,5352
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7643,5352 By Matching Biggest Common Factor Method
Now, list down the factors of 7643
:1,7643
Now, list down the factors of 5352
:1,2,3,4,6,8,12,24,223,446,669,892,1338,1784,2676,5352
Greatest Common Factor
We found the factors 7643,5352 . The biggest common factor number is the GCF number.
So the greatest common factor 7643,5352 is 1.
Lets's calculate LCM of 156,9923
Given numbers has no common factors except 1. So, there LCM is their product i.e 1547988
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1547988
Therefore, the GCF of Fractions 7643/156,5352/9923 is 1/1547988
Least Common Multiple of 156,9923 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 156,9923 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(156,9923) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(156,9923) x common factors =1 x 1 = 1
LCM(156,9923) = ( 156 × 9923 ) / 1
LCM(156,9923) = 1547988 / 1
LCM(156,9923) = 1547988
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FAQs on GCF of Fractions of 7643/156, 5352/9923
1. What is the HCF of 7643,5352?
The HCF of 7643,5352 is 1
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 7643/156, 5352/9923?
Answer: GCF of Numerators as per given numbers 7643/156, 5352/9923 is
GCF of Numerators i.e. for 7643,5352 is 1
LCM of denominators i.e. for 156,9923 is 1547988.
Thus, GCF of Fractions is 1/1547988.Finally, GCF of Fractions for 7643/156, 5352/9923 is 1/1547988.