GCF of 9176/967, 5970/2731
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9176/967, 5970/2731 i.e 2/2640877 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9176/967, 5970/2731.
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 9176/967,5970/2731?
Given fractions are 9176/967,5970/2731
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 9176/967,5970/2731, numerators are 9176,5970
Denominators are 967,2731
The GCF of 9176,5970 is 2 .
LCM of 967,2731 is 2640877.
The greatest common factor of 9176/967,5970/2731 = [GCF of 9176,5970]/[LCM of 967,2731]= 2/2640877
Therefore, the GCF of 9176/967,5970/2731 is 2/2640877.
To find the highest common factor of 9176,5970, we have to find the factors of both numbers and list the highest common factor.
The factors of 9176 are 1, 2, 4, 8, 31, 37, 62, 74, 124, 148, 248, 296, 1147, 2294, 4588, 9176
The factors of 5970 are 1, 2, 3, 5, 6, 10, 15, 30, 199, 398, 597, 995, 1194, 1990, 2985, 5970
The HCF of 9176,5970 is 2.
Lets's calculate GCF of 9176,5970
| 2 | 9176, 5970 |
| 4588, 2985 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9176,5970 By Matching Biggest Common Factor Method
Now, list down the factors of 9176
:1,2,4,8,31,37,62,74,124,148,248,296,1147,2294,4588,9176
Now, list down the factors of 5970
:1,2,3,5,6,10,15,30,199,398,597,995,1194,1990,2985,5970
Greatest Common Factor
We found the factors 9176,5970 . The biggest common factor number is the GCF number.
So the greatest common factor 9176,5970 is 2.
Lets's calculate LCM of 967,2731
Given numbers has no common factors except 1. So, there LCM is their product i.e 2640877
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2640877
Therefore, the GCF of Fractions 9176/967,5970/2731 is 2/2640877
Least Common Multiple of 967,2731 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 967,2731 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(967,2731) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(967,2731) x common factors =1 x 1 = 1
LCM(967,2731) = ( 967 × 2731 ) / 1
LCM(967,2731) = 2640877 / 1
LCM(967,2731) = 2640877
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FAQs on GCF of Fractions of 9176/967, 5970/2731
1. What is the HCF of 9176,5970?
The HCF of 9176,5970 is 2
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 9176/967, 5970/2731?
Answer: GCF of Numerators as per given numbers 9176/967, 5970/2731 is
GCF of Numerators i.e. for 9176,5970 is 2
LCM of denominators i.e. for 967,2731 is 2640877.
Thus, GCF of Fractions is 2/2640877.Finally, GCF of Fractions for 9176/967, 5970/2731 is 2/2640877.