GCF of 7910/557, 9646/1413
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7910/557, 9646/1413 i.e 14/787041 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7910/557, 9646/1413.
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 7910/557,9646/1413?
Given fractions are 7910/557,9646/1413
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 7910/557,9646/1413, numerators are 7910,9646
Denominators are 557,1413
The GCF of 7910,9646 is 14 .
LCM of 557,1413 is 787041.
The greatest common factor of 7910/557,9646/1413 = [GCF of 7910,9646]/[LCM of 557,1413]= 14/787041
Therefore, the GCF of 7910/557,9646/1413 is 14/787041.
To find the highest common factor of 7910,9646, we have to find the factors of both numbers and list the highest common factor.
The factors of 7910 are 1, 2, 5, 7, 10, 14, 35, 70, 113, 226, 565, 791, 1130, 1582, 3955, 7910
The factors of 9646 are 1, 2, 7, 13, 14, 26, 53, 91, 106, 182, 371, 689, 742, 1378, 4823, 9646
The HCF of 7910,9646 is 14.
Lets's calculate GCF of 7910,9646
| 2 | 7910, 9646 |
| 7 | 3955, 4823 |
| 565, 689 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 7910,9646 By Matching Biggest Common Factor Method
Now, list down the factors of 7910
:1,2,5,7,10,14,35,70,113,226,565,791,1130,1582,3955,7910
Now, list down the factors of 9646
:1,2,7,13,14,26,53,91,106,182,371,689,742,1378,4823,9646
Greatest Common Factor
We found the factors 7910,9646 . The biggest common factor number is the GCF number.
So the greatest common factor 7910,9646 is 14.
Lets's calculate LCM of 557,1413
Given numbers has no common factors except 1. So, there LCM is their product i.e 787041
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/787041
Therefore, the GCF of Fractions 7910/557,9646/1413 is 14/787041
Least Common Multiple of 557,1413 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 557,1413 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(557,1413) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(557,1413) x common factors =1 x 1 = 1
LCM(557,1413) = ( 557 × 1413 ) / 1
LCM(557,1413) = 787041 / 1
LCM(557,1413) = 787041
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FAQs on GCF of Fractions of 7910/557, 9646/1413
1. What is the HCF of 7910,9646?
The HCF of 7910,9646 is 14
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 7910/557, 9646/1413?
Answer: GCF of Numerators as per given numbers 7910/557, 9646/1413 is
GCF of Numerators i.e. for 7910,9646 is 14
LCM of denominators i.e. for 557,1413 is 787041.
Thus, GCF of Fractions is 14/787041.Finally, GCF of Fractions for 7910/557, 9646/1413 is 14/787041.