GCF of 2982/478, 5172/758
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2982/478, 5172/758 i.e 6/181162 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2982/478, 5172/758.
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 2982/478,5172/758?
Given fractions are 2982/478,5172/758
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 2982/478,5172/758, numerators are 2982,5172
Denominators are 478,758
The GCF of 2982,5172 is 6 .
LCM of 478,758 is 181162.
The greatest common factor of 2982/478,5172/758 = [GCF of 2982,5172]/[LCM of 478,758]= 6/181162
Therefore, the GCF of 2982/478,5172/758 is 6/181162.
To find the highest common factor of 2982,5172, we have to find the factors of both numbers and list the highest common factor.
The factors of 2982 are 1, 2, 3, 6, 7, 14, 21, 42, 71, 142, 213, 426, 497, 994, 1491, 2982
The factors of 5172 are 1, 2, 3, 4, 6, 12, 431, 862, 1293, 1724, 2586, 5172
The HCF of 2982,5172 is 6.
Lets's calculate GCF of 2982,5172
| 2 | 2982, 5172 |
| 3 | 1491, 2586 |
| 497, 862 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 2982,5172 By Matching Biggest Common Factor Method
Now, list down the factors of 2982
:1,2,3,6,7,14,21,42,71,142,213,426,497,994,1491,2982
Now, list down the factors of 5172
:1,2,3,4,6,12,431,862,1293,1724,2586,5172
Greatest Common Factor
We found the factors 2982,5172 . The biggest common factor number is the GCF number.
So the greatest common factor 2982,5172 is 6.
Lets's calculate LCM of 478,758
| 2 | 478, 758 |
| 239, 379 |
∴ So the LCM of the given numbers is 2 x 239 x 379 = 181162
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/181162
Therefore, the GCF of Fractions 2982/478,5172/758 is 6/181162
Least Common Multiple of 478,758 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 478,758 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(478,758) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(478,758) x common factors =2 x 1 = 2
LCM(478,758) = ( 478 × 758 ) / 2
LCM(478,758) = 362324 / 2
LCM(478,758) = 181162
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FAQs on GCF of Fractions of 2982/478, 5172/758
1. What is the HCF of 2982,5172?
The HCF of 2982,5172 is 6
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 2982/478, 5172/758?
Answer: GCF of Numerators as per given numbers 2982/478, 5172/758 is
GCF of Numerators i.e. for 2982,5172 is 6
LCM of denominators i.e. for 478,758 is 181162.
Thus, GCF of Fractions is 6/181162.Finally, GCF of Fractions for 2982/478, 5172/758 is 6/181162.