GCF of 4964/241, 4120/7576
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4964/241, 4120/7576 i.e 4/1825816 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4964/241, 4120/7576.
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 4964/241,4120/7576?
Given fractions are 4964/241,4120/7576
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 4964/241,4120/7576, numerators are 4964,4120
Denominators are 241,7576
The GCF of 4964,4120 is 4 .
LCM of 241,7576 is 1825816.
The greatest common factor of 4964/241,4120/7576 = [GCF of 4964,4120]/[LCM of 241,7576]= 4/1825816
Therefore, the GCF of 4964/241,4120/7576 is 4/1825816.
To find the highest common factor of 4964,4120, we have to find the factors of both numbers and list the highest common factor.
The factors of 4964 are 1, 2, 4, 17, 34, 68, 73, 146, 292, 1241, 2482, 4964
The factors of 4120 are 1, 2, 4, 5, 8, 10, 20, 40, 103, 206, 412, 515, 824, 1030, 2060, 4120
The HCF of 4964,4120 is 4.
Lets's calculate GCF of 4964,4120
| 2 | 4964, 4120 |
| 2 | 2482, 2060 |
| 1241, 1030 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 4964,4120 By Matching Biggest Common Factor Method
Now, list down the factors of 4964
:1,2,4,17,34,68,73,146,292,1241,2482,4964
Now, list down the factors of 4120
:1,2,4,5,8,10,20,40,103,206,412,515,824,1030,2060,4120
Greatest Common Factor
We found the factors 4964,4120 . The biggest common factor number is the GCF number.
So the greatest common factor 4964,4120 is 4.
Lets's calculate LCM of 241,7576
Given numbers has no common factors except 1. So, there LCM is their product i.e 1825816
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1825816
Therefore, the GCF of Fractions 4964/241,4120/7576 is 4/1825816
Least Common Multiple of 241,7576 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 241,7576 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(241,7576) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(241,7576) x common factors =1 x 1 = 1
LCM(241,7576) = ( 241 × 7576 ) / 1
LCM(241,7576) = 1825816 / 1
LCM(241,7576) = 1825816
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FAQs on GCF of Fractions of 4964/241, 4120/7576
1. What is the HCF of 4964,4120?
The HCF of 4964,4120 is 4
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 4964/241, 4120/7576?
Answer: GCF of Numerators as per given numbers 4964/241, 4120/7576 is
GCF of Numerators i.e. for 4964,4120 is 4
LCM of denominators i.e. for 241,7576 is 1825816.
Thus, GCF of Fractions is 4/1825816.Finally, GCF of Fractions for 4964/241, 4120/7576 is 4/1825816.