GCF of 4376/668, 7848/378
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4376/668, 7848/378 i.e 8/126252 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4376/668, 7848/378.
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 4376/668,7848/378?
Given fractions are 4376/668,7848/378
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 4376/668,7848/378, numerators are 4376,7848
Denominators are 668,378
The GCF of 4376,7848 is 8 .
LCM of 668,378 is 126252.
The greatest common factor of 4376/668,7848/378 = [GCF of 4376,7848]/[LCM of 668,378]= 8/126252
Therefore, the GCF of 4376/668,7848/378 is 8/126252.
To find the highest common factor of 4376,7848, 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 7848 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 109, 218, 327, 436, 654, 872, 981, 1308, 1962, 2616, 3924, 7848
The HCF of 4376,7848 is 8.
Lets's calculate GCF of 4376,7848
| 2 | 4376, 7848 |
| 2 | 2188, 3924 |
| 2 | 1094, 1962 |
| 547, 981 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 4376,7848 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 7848
:1,2,3,4,6,8,9,12,18,24,36,72,109,218,327,436,654,872,981,1308,1962,2616,3924,7848
Greatest Common Factor
We found the factors 4376,7848 . The biggest common factor number is the GCF number.
So the greatest common factor 4376,7848 is 8.
Lets's calculate LCM of 668,378
| 2 | 668, 378 |
| 334, 189 |
∴ So the LCM of the given numbers is 2 x 334 x 189 = 126252
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/126252
Therefore, the GCF of Fractions 4376/668,7848/378 is 8/126252
Least Common Multiple of 668,378 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 668,378 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(668,378) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(668,378) x common factors =2 x 1 = 2
LCM(668,378) = ( 668 × 378 ) / 2
LCM(668,378) = 252504 / 2
LCM(668,378) = 126252
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FAQs on GCF of Fractions of 4376/668, 7848/378
1. What is the HCF of 4376,7848?
The HCF of 4376,7848 is 8
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 4376/668, 7848/378?
Answer: GCF of Numerators as per given numbers 4376/668, 7848/378 is
GCF of Numerators i.e. for 4376,7848 is 8
LCM of denominators i.e. for 668,378 is 126252.
Thus, GCF of Fractions is 8/126252.Finally, GCF of Fractions for 4376/668, 7848/378 is 8/126252.