GCF of 5538/507, 7956/7852
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5538/507, 7956/7852 i.e 78/306228 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5538/507, 7956/7852.
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 5538/507,7956/7852?
Given fractions are 5538/507,7956/7852
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 5538/507,7956/7852, numerators are 5538,7956
Denominators are 507,7852
The GCF of 5538,7956 is 78 .
LCM of 507,7852 is 306228.
The greatest common factor of 5538/507,7956/7852 = [GCF of 5538,7956]/[LCM of 507,7852]= 78/306228
Therefore, the GCF of 5538/507,7956/7852 is 78/306228.
To find the highest common factor of 5538,7956, we have to find the factors of both numbers and list the highest common factor.
The factors of 5538 are 1, 2, 3, 6, 13, 26, 39, 71, 78, 142, 213, 426, 923, 1846, 2769, 5538
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 HCF of 5538,7956 is 78.
Lets's calculate GCF of 5538,7956
| 2 | 5538, 7956 |
| 3 | 2769, 3978 |
| 13 | 923, 1326 |
| 71, 102 |
∴ So the GCF of the given numbers is 2 x 3 x 13 = 78
Greatest Common Factor of 5538,7956 By Matching Biggest Common Factor Method
Now, list down the factors of 5538
:1,2,3,6,13,26,39,71,78,142,213,426,923,1846,2769,5538
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
Greatest Common Factor
We found the factors 5538,7956 . The biggest common factor number is the GCF number.
So the greatest common factor 5538,7956 is 78.
Lets's calculate LCM of 507,7852
| 13 | 507, 7852 |
| 39, 604 |
∴ So the LCM of the given numbers is 13 x 39 x 604 = 306228
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 78/306228
Therefore, the GCF of Fractions 5538/507,7956/7852 is 78/306228
Least Common Multiple of 507,7852 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 507,7852 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(507,7852) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(507,7852) x common factors =13 x 1 = 13
LCM(507,7852) = ( 507 × 7852 ) / 13
LCM(507,7852) = 3980964 / 13
LCM(507,7852) = 306228
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FAQs on GCF of Fractions of 5538/507, 7956/7852
1. What is the HCF of 5538,7956?
The HCF of 5538,7956 is 78
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 5538/507, 7956/7852?
Answer: GCF of Numerators as per given numbers 5538/507, 7956/7852 is
GCF of Numerators i.e. for 5538,7956 is 78
LCM of denominators i.e. for 507,7852 is 306228.
Thus, GCF of Fractions is 78/306228.Finally, GCF of Fractions for 5538/507, 7956/7852 is 78/306228.