GCF of 4867/252, 7812/829
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4867/252, 7812/829 i.e 31/208908 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4867/252, 7812/829.
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 4867/252,7812/829?
Given fractions are 4867/252,7812/829
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 4867/252,7812/829, numerators are 4867,7812
Denominators are 252,829
The GCF of 4867,7812 is 31 .
LCM of 252,829 is 208908.
The greatest common factor of 4867/252,7812/829 = [GCF of 4867,7812]/[LCM of 252,829]= 31/208908
Therefore, the GCF of 4867/252,7812/829 is 31/208908.
To find the highest common factor of 4867,7812, we have to find the factors of both numbers and list the highest common factor.
The factors of 4867 are 1, 31, 157, 4867
The factors of 7812 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 31, 36, 42, 62, 63, 84, 93, 124, 126, 186, 217, 252, 279, 372, 434, 558, 651, 868, 1116, 1302, 1953, 2604, 3906, 7812
The HCF of 4867,7812 is 31.
Lets's calculate GCF of 4867,7812
| 31 | 4867, 7812 |
| 157, 252 |
∴ So the GCF of the given numbers is 31 = 31
Greatest Common Factor of 4867,7812 By Matching Biggest Common Factor Method
Now, list down the factors of 4867
:1,31,157,4867
Now, list down the factors of 7812
:1,2,3,4,6,7,9,12,14,18,21,28,31,36,42,62,63,84,93,124,126,186,217,252,279,372,434,558,651,868,1116,1302,1953,2604,3906,7812
Greatest Common Factor
We found the factors 4867,7812 . The biggest common factor number is the GCF number.
So the greatest common factor 4867,7812 is 31.
Lets's calculate LCM of 252,829
Given numbers has no common factors except 1. So, there LCM is their product i.e 208908
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/208908
Therefore, the GCF of Fractions 4867/252,7812/829 is 31/208908
Least Common Multiple of 252,829 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 252,829 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(252,829) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(252,829) x common factors =1 x 1 = 1
LCM(252,829) = ( 252 × 829 ) / 1
LCM(252,829) = 208908 / 1
LCM(252,829) = 208908
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4867/252, 7812/829
1. What is the HCF of 4867,7812?
The HCF of 4867,7812 is 31
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 4867/252, 7812/829?
Answer: GCF of Numerators as per given numbers 4867/252, 7812/829 is
GCF of Numerators i.e. for 4867,7812 is 31
LCM of denominators i.e. for 252,829 is 208908.
Thus, GCF of Fractions is 31/208908.Finally, GCF of Fractions for 4867/252, 7812/829 is 31/208908.