GCF of 9912/616, 7724/5849
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9912/616, 7724/5849 i.e 4/3602984 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9912/616, 7724/5849.
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 9912/616,7724/5849?
Given fractions are 9912/616,7724/5849
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 9912/616,7724/5849, numerators are 9912,7724
Denominators are 616,5849
The GCF of 9912,7724 is 4 .
LCM of 616,5849 is 3602984.
The greatest common factor of 9912/616,7724/5849 = [GCF of 9912,7724]/[LCM of 616,5849]= 4/3602984
Therefore, the GCF of 9912/616,7724/5849 is 4/3602984.
To find the highest common factor of 9912,7724, we have to find the factors of both numbers and list the highest common factor.
The factors of 9912 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 59, 84, 118, 168, 177, 236, 354, 413, 472, 708, 826, 1239, 1416, 1652, 2478, 3304, 4956, 9912
The factors of 7724 are 1, 2, 4, 1931, 3862, 7724
The HCF of 9912,7724 is 4.
Lets's calculate GCF of 9912,7724
| 2 | 9912, 7724 |
| 2 | 4956, 3862 |
| 2478, 1931 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 9912,7724 By Matching Biggest Common Factor Method
Now, list down the factors of 9912
:1,2,3,4,6,7,8,12,14,21,24,28,42,56,59,84,118,168,177,236,354,413,472,708,826,1239,1416,1652,2478,3304,4956,9912
Now, list down the factors of 7724
:1,2,4,1931,3862,7724
Greatest Common Factor
We found the factors 9912,7724 . The biggest common factor number is the GCF number.
So the greatest common factor 9912,7724 is 4.
Lets's calculate LCM of 616,5849
Given numbers has no common factors except 1. So, there LCM is their product i.e 3602984
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3602984
Therefore, the GCF of Fractions 9912/616,7724/5849 is 4/3602984
Least Common Multiple of 616,5849 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 616,5849 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(616,5849) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(616,5849) x common factors =1 x 1 = 1
LCM(616,5849) = ( 616 × 5849 ) / 1
LCM(616,5849) = 3602984 / 1
LCM(616,5849) = 3602984
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FAQs on GCF of Fractions of 9912/616, 7724/5849
1. What is the HCF of 9912,7724?
The HCF of 9912,7724 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 9912/616, 7724/5849?
Answer: GCF of Numerators as per given numbers 9912/616, 7724/5849 is
GCF of Numerators i.e. for 9912,7724 is 4
LCM of denominators i.e. for 616,5849 is 3602984.
Thus, GCF of Fractions is 4/3602984.Finally, GCF of Fractions for 9912/616, 7724/5849 is 4/3602984.