GCF of 8757/488, 8112/2997
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8757/488, 8112/2997 i.e 3/1462536 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8757/488, 8112/2997.
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 8757/488,8112/2997?
Given fractions are 8757/488,8112/2997
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 8757/488,8112/2997, numerators are 8757,8112
Denominators are 488,2997
The GCF of 8757,8112 is 3 .
LCM of 488,2997 is 1462536.
The greatest common factor of 8757/488,8112/2997 = [GCF of 8757,8112]/[LCM of 488,2997]= 3/1462536
Therefore, the GCF of 8757/488,8112/2997 is 3/1462536.
To find the highest common factor of 8757,8112, we have to find the factors of both numbers and list the highest common factor.
The factors of 8757 are 1, 3, 7, 9, 21, 63, 139, 417, 973, 1251, 2919, 8757
The factors of 8112 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 169, 208, 312, 338, 507, 624, 676, 1014, 1352, 2028, 2704, 4056, 8112
The HCF of 8757,8112 is 3.
Lets's calculate GCF of 8757,8112
| 3 | 8757, 8112 |
| 2919, 2704 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8757,8112 By Matching Biggest Common Factor Method
Now, list down the factors of 8757
:1,3,7,9,21,63,139,417,973,1251,2919,8757
Now, list down the factors of 8112
:1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,169,208,312,338,507,624,676,1014,1352,2028,2704,4056,8112
Greatest Common Factor
We found the factors 8757,8112 . The biggest common factor number is the GCF number.
So the greatest common factor 8757,8112 is 3.
Lets's calculate LCM of 488,2997
Given numbers has no common factors except 1. So, there LCM is their product i.e 1462536
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1462536
Therefore, the GCF of Fractions 8757/488,8112/2997 is 3/1462536
Least Common Multiple of 488,2997 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 488,2997 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(488,2997) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(488,2997) x common factors =1 x 1 = 1
LCM(488,2997) = ( 488 × 2997 ) / 1
LCM(488,2997) = 1462536 / 1
LCM(488,2997) = 1462536
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FAQs on GCF of Fractions of 8757/488, 8112/2997
1. What is the HCF of 8757,8112?
The HCF of 8757,8112 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 8757/488, 8112/2997?
Answer: GCF of Numerators as per given numbers 8757/488, 8112/2997 is
GCF of Numerators i.e. for 8757,8112 is 3
LCM of denominators i.e. for 488,2997 is 1462536.
Thus, GCF of Fractions is 3/1462536.Finally, GCF of Fractions for 8757/488, 8112/2997 is 3/1462536.