GCF of 9976/378, 4872/6558
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9976/378, 4872/6558 i.e 232/413154 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9976/378, 4872/6558.
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 9976/378,4872/6558?
Given fractions are 9976/378,4872/6558
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 9976/378,4872/6558, numerators are 9976,4872
Denominators are 378,6558
The GCF of 9976,4872 is 232 .
LCM of 378,6558 is 413154.
The greatest common factor of 9976/378,4872/6558 = [GCF of 9976,4872]/[LCM of 378,6558]= 232/413154
Therefore, the GCF of 9976/378,4872/6558 is 232/413154.
To find the highest common factor of 9976,4872, we have to find the factors of both numbers and list the highest common factor.
The factors of 9976 are 1, 2, 4, 8, 29, 43, 58, 86, 116, 172, 232, 344, 1247, 2494, 4988, 9976
The factors of 4872 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 29, 42, 56, 58, 84, 87, 116, 168, 174, 203, 232, 348, 406, 609, 696, 812, 1218, 1624, 2436, 4872
The HCF of 9976,4872 is 232.
Lets's calculate GCF of 9976,4872
| 2 | 9976, 4872 |
| 2 | 4988, 2436 |
| 2 | 2494, 1218 |
| 29 | 1247, 609 |
| 43, 21 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 29 = 232
Greatest Common Factor of 9976,4872 By Matching Biggest Common Factor Method
Now, list down the factors of 9976
:1,2,4,8,29,43,58,86,116,172,232,344,1247,2494,4988,9976
Now, list down the factors of 4872
:1,2,3,4,6,7,8,12,14,21,24,28,29,42,56,58,84,87,116,168,174,203,232,348,406,609,696,812,1218,1624,2436,4872
Greatest Common Factor
We found the factors 9976,4872 . The biggest common factor number is the GCF number.
So the greatest common factor 9976,4872 is 232.
Lets's calculate LCM of 378,6558
| 2 | 378, 6558 |
| 3 | 189, 3279 |
| 63, 1093 |
∴ So the LCM of the given numbers is 2 x 3 x 63 x 1093 = 413154
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 232/413154
Therefore, the GCF of Fractions 9976/378,4872/6558 is 232/413154
Least Common Multiple of 378,6558 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 378,6558 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(378,6558) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(378,6558) x common factors =6 x 1 = 6
LCM(378,6558) = ( 378 × 6558 ) / 6
LCM(378,6558) = 2478924 / 6
LCM(378,6558) = 413154
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FAQs on GCF of Fractions of 9976/378, 4872/6558
1. What is the HCF of 9976,4872?
The HCF of 9976,4872 is 232
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 9976/378, 4872/6558?
Answer: GCF of Numerators as per given numbers 9976/378, 4872/6558 is
GCF of Numerators i.e. for 9976,4872 is 232
LCM of denominators i.e. for 378,6558 is 413154.
Thus, GCF of Fractions is 232/413154.Finally, GCF of Fractions for 9976/378, 4872/6558 is 232/413154.