GCF of 9957/861, 2052/8974
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9957/861, 2052/8974 i.e 3/1103802 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9957/861, 2052/8974.
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 9957/861,2052/8974?
Given fractions are 9957/861,2052/8974
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 9957/861,2052/8974, numerators are 9957,2052
Denominators are 861,8974
The GCF of 9957,2052 is 3 .
LCM of 861,8974 is 1103802.
The greatest common factor of 9957/861,2052/8974 = [GCF of 9957,2052]/[LCM of 861,8974]= 3/1103802
Therefore, the GCF of 9957/861,2052/8974 is 3/1103802.
To find the highest common factor of 9957,2052, we have to find the factors of both numbers and list the highest common factor.
The factors of 9957 are 1, 3, 3319, 9957
The factors of 2052 are 1, 2, 3, 4, 6, 9, 12, 18, 19, 27, 36, 38, 54, 57, 76, 108, 114, 171, 228, 342, 513, 684, 1026, 2052
The HCF of 9957,2052 is 3.
Lets's calculate GCF of 9957,2052
| 3 | 9957, 2052 |
| 3319, 684 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9957,2052 By Matching Biggest Common Factor Method
Now, list down the factors of 9957
:1,3,3319,9957
Now, list down the factors of 2052
:1,2,3,4,6,9,12,18,19,27,36,38,54,57,76,108,114,171,228,342,513,684,1026,2052
Greatest Common Factor
We found the factors 9957,2052 . The biggest common factor number is the GCF number.
So the greatest common factor 9957,2052 is 3.
Lets's calculate LCM of 861,8974
| 7 | 861, 8974 |
| 123, 1282 |
∴ So the LCM of the given numbers is 7 x 123 x 1282 = 1103802
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1103802
Therefore, the GCF of Fractions 9957/861,2052/8974 is 3/1103802
Least Common Multiple of 861,8974 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 861,8974 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(861,8974) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(861,8974) x common factors =7 x 1 = 7
LCM(861,8974) = ( 861 × 8974 ) / 7
LCM(861,8974) = 7726614 / 7
LCM(861,8974) = 1103802
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FAQs on GCF of Fractions of 9957/861, 2052/8974
1. What is the HCF of 9957,2052?
The HCF of 9957,2052 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 9957/861, 2052/8974?
Answer: GCF of Numerators as per given numbers 9957/861, 2052/8974 is
GCF of Numerators i.e. for 9957,2052 is 3
LCM of denominators i.e. for 861,8974 is 1103802.
Thus, GCF of Fractions is 3/1103802.Finally, GCF of Fractions for 9957/861, 2052/8974 is 3/1103802.