GCF of 7294/964, 9100/5232
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7294/964, 9100/5232 i.e 14/1260912 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7294/964, 9100/5232.
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 7294/964,9100/5232?
Given fractions are 7294/964,9100/5232
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 7294/964,9100/5232, numerators are 7294,9100
Denominators are 964,5232
The GCF of 7294,9100 is 14 .
LCM of 964,5232 is 1260912.
The greatest common factor of 7294/964,9100/5232 = [GCF of 7294,9100]/[LCM of 964,5232]= 14/1260912
Therefore, the GCF of 7294/964,9100/5232 is 14/1260912.
To find the highest common factor of 7294,9100, we have to find the factors of both numbers and list the highest common factor.
The factors of 7294 are 1, 2, 7, 14, 521, 1042, 3647, 7294
The factors of 9100 are 1, 2, 4, 5, 7, 10, 13, 14, 20, 25, 26, 28, 35, 50, 52, 65, 70, 91, 100, 130, 140, 175, 182, 260, 325, 350, 364, 455, 650, 700, 910, 1300, 1820, 2275, 4550, 9100
The HCF of 7294,9100 is 14.
Lets's calculate GCF of 7294,9100
| 2 | 7294, 9100 |
| 7 | 3647, 4550 |
| 521, 650 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 7294,9100 By Matching Biggest Common Factor Method
Now, list down the factors of 7294
:1,2,7,14,521,1042,3647,7294
Now, list down the factors of 9100
:1,2,4,5,7,10,13,14,20,25,26,28,35,50,52,65,70,91,100,130,140,175,182,260,325,350,364,455,650,700,910,1300,1820,2275,4550,9100
Greatest Common Factor
We found the factors 7294,9100 . The biggest common factor number is the GCF number.
So the greatest common factor 7294,9100 is 14.
Lets's calculate LCM of 964,5232
| 2 | 964, 5232 |
| 2 | 482, 2616 |
| 241, 1308 |
∴ So the LCM of the given numbers is 2 x 2 x 241 x 1308 = 1260912
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/1260912
Therefore, the GCF of Fractions 7294/964,9100/5232 is 14/1260912
Least Common Multiple of 964,5232 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 964,5232 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(964,5232) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(964,5232) x common factors =4 x 1 = 4
LCM(964,5232) = ( 964 × 5232 ) / 4
LCM(964,5232) = 5043648 / 4
LCM(964,5232) = 1260912
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FAQs on GCF of Fractions of 7294/964, 9100/5232
1. What is the HCF of 7294,9100?
The HCF of 7294,9100 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 7294/964, 9100/5232?
Answer: GCF of Numerators as per given numbers 7294/964, 9100/5232 is
GCF of Numerators i.e. for 7294,9100 is 14
LCM of denominators i.e. for 964,5232 is 1260912.
Thus, GCF of Fractions is 14/1260912.Finally, GCF of Fractions for 7294/964, 9100/5232 is 14/1260912.