GCF of 1281/508, 5747/7676
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1281/508, 5747/7676 i.e 7/974852 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1281/508, 5747/7676.
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 1281/508,5747/7676?
Given fractions are 1281/508,5747/7676
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 1281/508,5747/7676, numerators are 1281,5747
Denominators are 508,7676
The GCF of 1281,5747 is 7 .
LCM of 508,7676 is 974852.
The greatest common factor of 1281/508,5747/7676 = [GCF of 1281,5747]/[LCM of 508,7676]= 7/974852
Therefore, the GCF of 1281/508,5747/7676 is 7/974852.
To find the highest common factor of 1281,5747, we have to find the factors of both numbers and list the highest common factor.
The factors of 1281 are 1, 3, 7, 21, 61, 183, 427, 1281
The factors of 5747 are 1, 7, 821, 5747
The HCF of 1281,5747 is 7.
Lets's calculate GCF of 1281,5747
| 7 | 1281, 5747 |
| 183, 821 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 1281,5747 By Matching Biggest Common Factor Method
Now, list down the factors of 1281
:1,3,7,21,61,183,427,1281
Now, list down the factors of 5747
:1,7,821,5747
Greatest Common Factor
We found the factors 1281,5747 . The biggest common factor number is the GCF number.
So the greatest common factor 1281,5747 is 7.
Lets's calculate LCM of 508,7676
| 2 | 508, 7676 |
| 2 | 254, 3838 |
| 127, 1919 |
∴ So the LCM of the given numbers is 2 x 2 x 127 x 1919 = 974852
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/974852
Therefore, the GCF of Fractions 1281/508,5747/7676 is 7/974852
Least Common Multiple of 508,7676 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 508,7676 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(508,7676) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(508,7676) x common factors =4 x 1 = 4
LCM(508,7676) = ( 508 × 7676 ) / 4
LCM(508,7676) = 3899408 / 4
LCM(508,7676) = 974852
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FAQs on GCF of Fractions of 1281/508, 5747/7676
1. What is the HCF of 1281,5747?
The HCF of 1281,5747 is 7
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 1281/508, 5747/7676?
Answer: GCF of Numerators as per given numbers 1281/508, 5747/7676 is
GCF of Numerators i.e. for 1281,5747 is 7
LCM of denominators i.e. for 508,7676 is 974852.
Thus, GCF of Fractions is 7/974852.Finally, GCF of Fractions for 1281/508, 5747/7676 is 7/974852.