GCF of 7630/971, 9716/4524
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7630/971, 9716/4524 i.e 14/4392804 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7630/971, 9716/4524.
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 7630/971,9716/4524?
Given fractions are 7630/971,9716/4524
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 7630/971,9716/4524, numerators are 7630,9716
Denominators are 971,4524
The GCF of 7630,9716 is 14 .
LCM of 971,4524 is 4392804.
The greatest common factor of 7630/971,9716/4524 = [GCF of 7630,9716]/[LCM of 971,4524]= 14/4392804
Therefore, the GCF of 7630/971,9716/4524 is 14/4392804.
To find the highest common factor of 7630,9716, we have to find the factors of both numbers and list the highest common factor.
The factors of 7630 are 1, 2, 5, 7, 10, 14, 35, 70, 109, 218, 545, 763, 1090, 1526, 3815, 7630
The factors of 9716 are 1, 2, 4, 7, 14, 28, 347, 694, 1388, 2429, 4858, 9716
The HCF of 7630,9716 is 14.
Lets's calculate GCF of 7630,9716
| 2 | 7630, 9716 |
| 7 | 3815, 4858 |
| 545, 694 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 7630,9716 By Matching Biggest Common Factor Method
Now, list down the factors of 7630
:1,2,5,7,10,14,35,70,109,218,545,763,1090,1526,3815,7630
Now, list down the factors of 9716
:1,2,4,7,14,28,347,694,1388,2429,4858,9716
Greatest Common Factor
We found the factors 7630,9716 . The biggest common factor number is the GCF number.
So the greatest common factor 7630,9716 is 14.
Lets's calculate LCM of 971,4524
Given numbers has no common factors except 1. So, there LCM is their product i.e 4392804
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/4392804
Therefore, the GCF of Fractions 7630/971,9716/4524 is 14/4392804
Least Common Multiple of 971,4524 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 971,4524 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(971,4524) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(971,4524) x common factors =1 x 1 = 1
LCM(971,4524) = ( 971 × 4524 ) / 1
LCM(971,4524) = 4392804 / 1
LCM(971,4524) = 4392804
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FAQs on GCF of Fractions of 7630/971, 9716/4524
1. What is the HCF of 7630,9716?
The HCF of 7630,9716 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 7630/971, 9716/4524?
Answer: GCF of Numerators as per given numbers 7630/971, 9716/4524 is
GCF of Numerators i.e. for 7630,9716 is 14
LCM of denominators i.e. for 971,4524 is 4392804.
Thus, GCF of Fractions is 14/4392804.Finally, GCF of Fractions for 7630/971, 9716/4524 is 14/4392804.