GCF of 4376/960, 9942/9826
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4376/960, 9942/9826 i.e 2/4716480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4376/960, 9942/9826.
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 4376/960,9942/9826?
Given fractions are 4376/960,9942/9826
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 4376/960,9942/9826, numerators are 4376,9942
Denominators are 960,9826
The GCF of 4376,9942 is 2 .
LCM of 960,9826 is 4716480.
The greatest common factor of 4376/960,9942/9826 = [GCF of 4376,9942]/[LCM of 960,9826]= 2/4716480
Therefore, the GCF of 4376/960,9942/9826 is 2/4716480.
To find the highest common factor of 4376,9942, we have to find the factors of both numbers and list the highest common factor.
The factors of 4376 are 1, 2, 4, 8, 547, 1094, 2188, 4376
The factors of 9942 are 1, 2, 3, 6, 1657, 3314, 4971, 9942
The HCF of 4376,9942 is 2.
Lets's calculate GCF of 4376,9942
| 2 | 4376, 9942 |
| 2188, 4971 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4376,9942 By Matching Biggest Common Factor Method
Now, list down the factors of 4376
:1,2,4,8,547,1094,2188,4376
Now, list down the factors of 9942
:1,2,3,6,1657,3314,4971,9942
Greatest Common Factor
We found the factors 4376,9942 . The biggest common factor number is the GCF number.
So the greatest common factor 4376,9942 is 2.
Lets's calculate LCM of 960,9826
| 2 | 960, 9826 |
| 480, 4913 |
∴ So the LCM of the given numbers is 2 x 480 x 4913 = 4716480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4716480
Therefore, the GCF of Fractions 4376/960,9942/9826 is 2/4716480
Least Common Multiple of 960,9826 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 960,9826 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(960,9826) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(960,9826) x common factors =2 x 1 = 2
LCM(960,9826) = ( 960 × 9826 ) / 2
LCM(960,9826) = 9432960 / 2
LCM(960,9826) = 4716480
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FAQs on GCF of Fractions of 4376/960, 9942/9826
1. What is the HCF of 4376,9942?
The HCF of 4376,9942 is 2
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 4376/960, 9942/9826?
Answer: GCF of Numerators as per given numbers 4376/960, 9942/9826 is
GCF of Numerators i.e. for 4376,9942 is 2
LCM of denominators i.e. for 960,9826 is 4716480.
Thus, GCF of Fractions is 2/4716480.Finally, GCF of Fractions for 4376/960, 9942/9826 is 2/4716480.