GCF of 7956/924, 2088/8361
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7956/924, 2088/8361 i.e 36/2575188 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7956/924, 2088/8361.
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 7956/924,2088/8361?
Given fractions are 7956/924,2088/8361
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 7956/924,2088/8361, numerators are 7956,2088
Denominators are 924,8361
The GCF of 7956,2088 is 36 .
LCM of 924,8361 is 2575188.
The greatest common factor of 7956/924,2088/8361 = [GCF of 7956,2088]/[LCM of 924,8361]= 36/2575188
Therefore, the GCF of 7956/924,2088/8361 is 36/2575188.
To find the highest common factor of 7956,2088, we have to find the factors of both numbers and list the highest common factor.
The factors of 7956 are 1, 2, 3, 4, 6, 9, 12, 13, 17, 18, 26, 34, 36, 39, 51, 52, 68, 78, 102, 117, 153, 156, 204, 221, 234, 306, 442, 468, 612, 663, 884, 1326, 1989, 2652, 3978, 7956
The factors of 2088 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 29, 36, 58, 72, 87, 116, 174, 232, 261, 348, 522, 696, 1044, 2088
The HCF of 7956,2088 is 36.
Lets's calculate GCF of 7956,2088
| 2 | 7956, 2088 |
| 2 | 3978, 1044 |
| 3 | 1989, 522 |
| 3 | 663, 174 |
| 221, 58 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36
Greatest Common Factor of 7956,2088 By Matching Biggest Common Factor Method
Now, list down the factors of 7956
:1,2,3,4,6,9,12,13,17,18,26,34,36,39,51,52,68,78,102,117,153,156,204,221,234,306,442,468,612,663,884,1326,1989,2652,3978,7956
Now, list down the factors of 2088
:1,2,3,4,6,8,9,12,18,24,29,36,58,72,87,116,174,232,261,348,522,696,1044,2088
Greatest Common Factor
We found the factors 7956,2088 . The biggest common factor number is the GCF number.
So the greatest common factor 7956,2088 is 36.
Lets's calculate LCM of 924,8361
| 3 | 924, 8361 |
| 308, 2787 |
∴ So the LCM of the given numbers is 3 x 308 x 2787 = 2575188
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 36/2575188
Therefore, the GCF of Fractions 7956/924,2088/8361 is 36/2575188
Least Common Multiple of 924,8361 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 924,8361 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(924,8361) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(924,8361) x common factors =3 x 1 = 3
LCM(924,8361) = ( 924 × 8361 ) / 3
LCM(924,8361) = 7725564 / 3
LCM(924,8361) = 2575188
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FAQs on GCF of Fractions of 7956/924, 2088/8361
1. What is the HCF of 7956,2088?
The HCF of 7956,2088 is 36
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 7956/924, 2088/8361?
Answer: GCF of Numerators as per given numbers 7956/924, 2088/8361 is
GCF of Numerators i.e. for 7956,2088 is 36
LCM of denominators i.e. for 924,8361 is 2575188.
Thus, GCF of Fractions is 36/2575188.Finally, GCF of Fractions for 7956/924, 2088/8361 is 36/2575188.