GCF of 4247/125, 9912/2755
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4247/125, 9912/2755 i.e 1/68875 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4247/125, 9912/2755.
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 4247/125,9912/2755?
Given fractions are 4247/125,9912/2755
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 4247/125,9912/2755, numerators are 4247,9912
Denominators are 125,2755
The GCF of 4247,9912 is 1 .
LCM of 125,2755 is 68875.
The greatest common factor of 4247/125,9912/2755 = [GCF of 4247,9912]/[LCM of 125,2755]= 1/68875
Therefore, the GCF of 4247/125,9912/2755 is 1/68875.
To find the highest common factor of 4247,9912, we have to find the factors of both numbers and list the highest common factor.
The factors of 4247 are 1, 31, 137, 4247
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 HCF of 4247,9912 is 1.
Lets's calculate GCF of 4247,9912
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4247,9912 By Matching Biggest Common Factor Method
Now, list down the factors of 4247
:1,31,137,4247
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
Greatest Common Factor
We found the factors 4247,9912 . The biggest common factor number is the GCF number.
So the greatest common factor 4247,9912 is 1.
Lets's calculate LCM of 125,2755
| 5 | 125, 2755 |
| 25, 551 |
∴ So the LCM of the given numbers is 5 x 25 x 551 = 68875
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/68875
Therefore, the GCF of Fractions 4247/125,9912/2755 is 1/68875
Least Common Multiple of 125,2755 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 125,2755 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(125,2755) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(125,2755) x common factors =5 x 1 = 5
LCM(125,2755) = ( 125 × 2755 ) / 5
LCM(125,2755) = 344375 / 5
LCM(125,2755) = 68875
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FAQs on GCF of Fractions of 4247/125, 9912/2755
1. What is the HCF of 4247,9912?
The HCF of 4247,9912 is 1
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 4247/125, 9912/2755?
Answer: GCF of Numerators as per given numbers 4247/125, 9912/2755 is
GCF of Numerators i.e. for 4247,9912 is 1
LCM of denominators i.e. for 125,2755 is 68875.
Thus, GCF of Fractions is 1/68875.Finally, GCF of Fractions for 4247/125, 9912/2755 is 1/68875.