GCF of 4963/144, 7928/652
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4963/144, 7928/652 i.e 1/23472 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4963/144, 7928/652.
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 4963/144,7928/652?
Given fractions are 4963/144,7928/652
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 4963/144,7928/652, numerators are 4963,7928
Denominators are 144,652
The GCF of 4963,7928 is 1 .
LCM of 144,652 is 23472.
The greatest common factor of 4963/144,7928/652 = [GCF of 4963,7928]/[LCM of 144,652]= 1/23472
Therefore, the GCF of 4963/144,7928/652 is 1/23472.
To find the highest common factor of 4963,7928, we have to find the factors of both numbers and list the highest common factor.
The factors of 4963 are 1, 7, 709, 4963
The factors of 7928 are 1, 2, 4, 8, 991, 1982, 3964, 7928
The HCF of 4963,7928 is 1.
Lets's calculate GCF of 4963,7928
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4963,7928 By Matching Biggest Common Factor Method
Now, list down the factors of 4963
:1,7,709,4963
Now, list down the factors of 7928
:1,2,4,8,991,1982,3964,7928
Greatest Common Factor
We found the factors 4963,7928 . The biggest common factor number is the GCF number.
So the greatest common factor 4963,7928 is 1.
Lets's calculate LCM of 144,652
| 2 | 144, 652 |
| 2 | 72, 326 |
| 36, 163 |
∴ So the LCM of the given numbers is 2 x 2 x 36 x 163 = 23472
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23472
Therefore, the GCF of Fractions 4963/144,7928/652 is 1/23472
Least Common Multiple of 144,652 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 144,652 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(144,652) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(144,652) x common factors =4 x 1 = 4
LCM(144,652) = ( 144 × 652 ) / 4
LCM(144,652) = 93888 / 4
LCM(144,652) = 23472
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FAQs on GCF of Fractions of 4963/144, 7928/652
1. What is the HCF of 4963,7928?
The HCF of 4963,7928 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 4963/144, 7928/652?
Answer: GCF of Numerators as per given numbers 4963/144, 7928/652 is
GCF of Numerators i.e. for 4963,7928 is 1
LCM of denominators i.e. for 144,652 is 23472.
Thus, GCF of Fractions is 1/23472.Finally, GCF of Fractions for 4963/144, 7928/652 is 1/23472.