GCF of 6332/984, 2616/9895
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6332/984, 2616/9895 i.e 4/9736680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6332/984, 2616/9895.
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 6332/984,2616/9895?
Given fractions are 6332/984,2616/9895
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 6332/984,2616/9895, numerators are 6332,2616
Denominators are 984,9895
The GCF of 6332,2616 is 4 .
LCM of 984,9895 is 9736680.
The greatest common factor of 6332/984,2616/9895 = [GCF of 6332,2616]/[LCM of 984,9895]= 4/9736680
Therefore, the GCF of 6332/984,2616/9895 is 4/9736680.
To find the highest common factor of 6332,2616, we have to find the factors of both numbers and list the highest common factor.
The factors of 6332 are 1, 2, 4, 1583, 3166, 6332
The factors of 2616 are 1, 2, 3, 4, 6, 8, 12, 24, 109, 218, 327, 436, 654, 872, 1308, 2616
The HCF of 6332,2616 is 4.
Lets's calculate GCF of 6332,2616
| 2 | 6332, 2616 |
| 2 | 3166, 1308 |
| 1583, 654 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 6332,2616 By Matching Biggest Common Factor Method
Now, list down the factors of 6332
:1,2,4,1583,3166,6332
Now, list down the factors of 2616
:1,2,3,4,6,8,12,24,109,218,327,436,654,872,1308,2616
Greatest Common Factor
We found the factors 6332,2616 . The biggest common factor number is the GCF number.
So the greatest common factor 6332,2616 is 4.
Lets's calculate LCM of 984,9895
Given numbers has no common factors except 1. So, there LCM is their product i.e 9736680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/9736680
Therefore, the GCF of Fractions 6332/984,2616/9895 is 4/9736680
Least Common Multiple of 984,9895 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 984,9895 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(984,9895) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(984,9895) x common factors =1 x 1 = 1
LCM(984,9895) = ( 984 × 9895 ) / 1
LCM(984,9895) = 9736680 / 1
LCM(984,9895) = 9736680
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FAQs on GCF of Fractions of 6332/984, 2616/9895
1. What is the HCF of 6332,2616?
The HCF of 6332,2616 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 6332/984, 2616/9895?
Answer: GCF of Numerators as per given numbers 6332/984, 2616/9895 is
GCF of Numerators i.e. for 6332,2616 is 4
LCM of denominators i.e. for 984,9895 is 9736680.
Thus, GCF of Fractions is 4/9736680.Finally, GCF of Fractions for 6332/984, 2616/9895 is 4/9736680.