GCF of 4/61, 40/57, 20/976, 282/264
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4/61, 40/57, 20/976, 282/264 i.e 2/611952 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4/61, 40/57, 20/976, 282/264.
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 4/61,40/57,20/976,282/264?
Given fractions are 4/61,40/57,20/976,282/264
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 4/61,40/57,20/976,282/264, numerators are 4,40,20,282
Denominators are 61,57,976,264
The GCF of 4,40,20,282 is 2 .
LCM of 61,57,976,264 is 611952.
The greatest common factor of 4/61,40/57,20/976,282/264 = [GCF of 4,40,20,282]/[LCM of 61,57,976,264]= 2/611952
Therefore, the GCF of 4/61,40/57,20/976,282/264 is 2/611952.
To find the highest common factor of 4,40,20,282, we have to find the factors of both numbers and list the highest common factor.
The factors of 4 are 1, 2, 4
The factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40
The factors of 20 are 1, 2, 4, 5, 10, 20
The factors of 282 are 1, 2, 3, 6, 47, 94, 141, 282
The HCF of 4,40,20,282 is 2.
Lets's calculate GCF of 4,40,20,282
| 2 | 4, 40, 20, 282 |
| 2, 20, 10, 141 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4,40,20,282 By Matching Biggest Common Factor Method
Now, list down the factors of 4
:1,2,4
Now, list down the factors of 40
:1,2,4,5,8,10,20,40
Now, list down the factors of 20
:1,2,4,5,10,20
Now, list down the factors of 282
:1,2,3,6,47,94,141,282
Greatest Common Factor
We found the factors 4,40,20,282 . The biggest common factor number is the GCF number.
So the greatest common factor 4,40,20,282 is 2.
Lets's calculate LCM of 61,57,976,264
| 2 | 61, 57, 976, 264 |
| 2 | 61, 57, 488, 132 |
| 2 | 61, 57, 244, 66 |
| 3 | 61, 57, 122, 33 |
| 61 | 61, 19, 122, 11 |
| 1, 19, 2, 11 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 61 x 1 x 19 x 2 x 11 = 611952
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/611952
Therefore, the GCF of Fractions 4/61,40/57,20/976,282/264 is 2/611952
Least Common Multiple of 61,57,976,264 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 61,57,976,264 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,57,976,264) = 1
common factors(in case of two or more numbers have common factors) = 1464
GCF(61,57,976,264) x common factors =1 x 1464 = 1464
LCM(61,57,976,264) = ( 61 × 57 × 976 × 264 ) / 1464
LCM(61,57,976,264) = 895897728 / 1464
LCM(61,57,976,264) = 611952
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FAQs on GCF of Fractions of 4/61, 40/57, 20/976, 282/264
1. What is the HCF of 4,40,20,282?
The HCF of 4,40,20,282 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 4/61, 40/57, 20/976, 282/264?
Answer: GCF of Numerators as per given numbers 4/61, 40/57, 20/976, 282/264 is
GCF of Numerators i.e. for 4,40,20,282 is 2
LCM of denominators i.e. for 61,57,976,264 is 611952.
Thus, GCF of Fractions is 2/611952.Finally, GCF of Fractions for 4/61, 40/57, 20/976, 282/264 is 2/611952.