GCF of 4316/708, 7872/3777
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4316/708, 7872/3777 i.e 4/891372 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4316/708, 7872/3777.
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 4316/708,7872/3777?
Given fractions are 4316/708,7872/3777
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 4316/708,7872/3777, numerators are 4316,7872
Denominators are 708,3777
The GCF of 4316,7872 is 4 .
LCM of 708,3777 is 891372.
The greatest common factor of 4316/708,7872/3777 = [GCF of 4316,7872]/[LCM of 708,3777]= 4/891372
Therefore, the GCF of 4316/708,7872/3777 is 4/891372.
To find the highest common factor of 4316,7872, we have to find the factors of both numbers and list the highest common factor.
The factors of 4316 are 1, 2, 4, 13, 26, 52, 83, 166, 332, 1079, 2158, 4316
The factors of 7872 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 41, 48, 64, 82, 96, 123, 164, 192, 246, 328, 492, 656, 984, 1312, 1968, 2624, 3936, 7872
The HCF of 4316,7872 is 4.
Lets's calculate GCF of 4316,7872
| 2 | 4316, 7872 |
| 2 | 2158, 3936 |
| 1079, 1968 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 4316,7872 By Matching Biggest Common Factor Method
Now, list down the factors of 4316
:1,2,4,13,26,52,83,166,332,1079,2158,4316
Now, list down the factors of 7872
:1,2,3,4,6,8,12,16,24,32,41,48,64,82,96,123,164,192,246,328,492,656,984,1312,1968,2624,3936,7872
Greatest Common Factor
We found the factors 4316,7872 . The biggest common factor number is the GCF number.
So the greatest common factor 4316,7872 is 4.
Lets's calculate LCM of 708,3777
| 3 | 708, 3777 |
| 236, 1259 |
∴ So the LCM of the given numbers is 3 x 236 x 1259 = 891372
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/891372
Therefore, the GCF of Fractions 4316/708,7872/3777 is 4/891372
Least Common Multiple of 708,3777 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 708,3777 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(708,3777) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(708,3777) x common factors =3 x 1 = 3
LCM(708,3777) = ( 708 × 3777 ) / 3
LCM(708,3777) = 2674116 / 3
LCM(708,3777) = 891372
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FAQs on GCF of Fractions of 4316/708, 7872/3777
1. What is the HCF of 4316,7872?
The HCF of 4316,7872 is 4
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 4316/708, 7872/3777?
Answer: GCF of Numerators as per given numbers 4316/708, 7872/3777 is
GCF of Numerators i.e. for 4316,7872 is 4
LCM of denominators i.e. for 708,3777 is 891372.
Thus, GCF of Fractions is 4/891372.Finally, GCF of Fractions for 4316/708, 7872/3777 is 4/891372.