GCF of 5957/784, 7956/4534
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5957/784, 7956/4534 i.e 1/1777328 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5957/784, 7956/4534.
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 5957/784,7956/4534?
Given fractions are 5957/784,7956/4534
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 5957/784,7956/4534, numerators are 5957,7956
Denominators are 784,4534
The GCF of 5957,7956 is 1 .
LCM of 784,4534 is 1777328.
The greatest common factor of 5957/784,7956/4534 = [GCF of 5957,7956]/[LCM of 784,4534]= 1/1777328
Therefore, the GCF of 5957/784,7956/4534 is 1/1777328.
To find the highest common factor of 5957,7956, we have to find the factors of both numbers and list the highest common factor.
The factors of 5957 are 1, 7, 23, 37, 161, 259, 851, 5957
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 5957,7956 is 1.
Lets's calculate GCF of 5957,7956
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5957,7956 By Matching Biggest Common Factor Method
Now, list down the factors of 5957
:1,7,23,37,161,259,851,5957
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 5957,7956 . The biggest common factor number is the GCF number.
So the greatest common factor 5957,7956 is 1.
Lets's calculate LCM of 784,4534
| 2 | 784, 4534 |
| 392, 2267 |
∴ So the LCM of the given numbers is 2 x 392 x 2267 = 1777328
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1777328
Therefore, the GCF of Fractions 5957/784,7956/4534 is 1/1777328
Least Common Multiple of 784,4534 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 784,4534 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(784,4534) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(784,4534) x common factors =2 x 1 = 2
LCM(784,4534) = ( 784 × 4534 ) / 2
LCM(784,4534) = 3554656 / 2
LCM(784,4534) = 1777328
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FAQs on GCF of Fractions of 5957/784, 7956/4534
1. What is the HCF of 5957,7956?
The HCF of 5957,7956 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 5957/784, 7956/4534?
Answer: GCF of Numerators as per given numbers 5957/784, 7956/4534 is
GCF of Numerators i.e. for 5957,7956 is 1
LCM of denominators i.e. for 784,4534 is 1777328.
Thus, GCF of Fractions is 1/1777328.Finally, GCF of Fractions for 5957/784, 7956/4534 is 1/1777328.