GCF of 3117/618, 4332/792
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3117/618, 4332/792 i.e 3/81576 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3117/618, 4332/792.
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 3117/618,4332/792?
Given fractions are 3117/618,4332/792
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 3117/618,4332/792, numerators are 3117,4332
Denominators are 618,792
The GCF of 3117,4332 is 3 .
LCM of 618,792 is 81576.
The greatest common factor of 3117/618,4332/792 = [GCF of 3117,4332]/[LCM of 618,792]= 3/81576
Therefore, the GCF of 3117/618,4332/792 is 3/81576.
To find the highest common factor of 3117,4332, we have to find the factors of both numbers and list the highest common factor.
The factors of 3117 are 1, 3, 1039, 3117
The factors of 4332 are 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228, 361, 722, 1083, 1444, 2166, 4332
The HCF of 3117,4332 is 3.
Lets's calculate GCF of 3117,4332
| 3 | 3117, 4332 |
| 1039, 1444 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3117,4332 By Matching Biggest Common Factor Method
Now, list down the factors of 3117
:1,3,1039,3117
Now, list down the factors of 4332
:1,2,3,4,6,12,19,38,57,76,114,228,361,722,1083,1444,2166,4332
Greatest Common Factor
We found the factors 3117,4332 . The biggest common factor number is the GCF number.
So the greatest common factor 3117,4332 is 3.
Lets's calculate LCM of 618,792
| 2 | 618, 792 |
| 3 | 309, 396 |
| 103, 132 |
∴ So the LCM of the given numbers is 2 x 3 x 103 x 132 = 81576
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/81576
Therefore, the GCF of Fractions 3117/618,4332/792 is 3/81576
Least Common Multiple of 618,792 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 618,792 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(618,792) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(618,792) x common factors =6 x 1 = 6
LCM(618,792) = ( 618 × 792 ) / 6
LCM(618,792) = 489456 / 6
LCM(618,792) = 81576
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FAQs on GCF of Fractions of 3117/618, 4332/792
1. What is the HCF of 3117,4332?
The HCF of 3117,4332 is 3
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 3117/618, 4332/792?
Answer: GCF of Numerators as per given numbers 3117/618, 4332/792 is
GCF of Numerators i.e. for 3117,4332 is 3
LCM of denominators i.e. for 618,792 is 81576.
Thus, GCF of Fractions is 3/81576.Finally, GCF of Fractions for 3117/618, 4332/792 is 3/81576.