GCF of 3990/114, 4748/6332
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3990/114, 4748/6332 i.e 2/360924 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3990/114, 4748/6332.
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 3990/114,4748/6332?
Given fractions are 3990/114,4748/6332
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 3990/114,4748/6332, numerators are 3990,4748
Denominators are 114,6332
The GCF of 3990,4748 is 2 .
LCM of 114,6332 is 360924.
The greatest common factor of 3990/114,4748/6332 = [GCF of 3990,4748]/[LCM of 114,6332]= 2/360924
Therefore, the GCF of 3990/114,4748/6332 is 2/360924.
To find the highest common factor of 3990,4748, we have to find the factors of both numbers and list the highest common factor.
The factors of 3990 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 19, 21, 30, 35, 38, 42, 57, 70, 95, 105, 114, 133, 190, 210, 266, 285, 399, 570, 665, 798, 1330, 1995, 3990
The factors of 4748 are 1, 2, 4, 1187, 2374, 4748
The HCF of 3990,4748 is 2.
Lets's calculate GCF of 3990,4748
| 2 | 3990, 4748 |
| 1995, 2374 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3990,4748 By Matching Biggest Common Factor Method
Now, list down the factors of 3990
:1,2,3,5,6,7,10,14,15,19,21,30,35,38,42,57,70,95,105,114,133,190,210,266,285,399,570,665,798,1330,1995,3990
Now, list down the factors of 4748
:1,2,4,1187,2374,4748
Greatest Common Factor
We found the factors 3990,4748 . The biggest common factor number is the GCF number.
So the greatest common factor 3990,4748 is 2.
Lets's calculate LCM of 114,6332
| 2 | 114, 6332 |
| 57, 3166 |
∴ So the LCM of the given numbers is 2 x 57 x 3166 = 360924
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/360924
Therefore, the GCF of Fractions 3990/114,4748/6332 is 2/360924
Least Common Multiple of 114,6332 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 114,6332 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(114,6332) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(114,6332) x common factors =2 x 1 = 2
LCM(114,6332) = ( 114 × 6332 ) / 2
LCM(114,6332) = 721848 / 2
LCM(114,6332) = 360924
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FAQs on GCF of Fractions of 3990/114, 4748/6332
1. What is the HCF of 3990,4748?
The HCF of 3990,4748 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 3990/114, 4748/6332?
Answer: GCF of Numerators as per given numbers 3990/114, 4748/6332 is
GCF of Numerators i.e. for 3990,4748 is 2
LCM of denominators i.e. for 114,6332 is 360924.
Thus, GCF of Fractions is 2/360924.Finally, GCF of Fractions for 3990/114, 4748/6332 is 2/360924.