GCF of 9177/978, 1140/7582
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9177/978, 1140/7582 i.e 57/3707598 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9177/978, 1140/7582.
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 9177/978,1140/7582?
Given fractions are 9177/978,1140/7582
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 9177/978,1140/7582, numerators are 9177,1140
Denominators are 978,7582
The GCF of 9177,1140 is 57 .
LCM of 978,7582 is 3707598.
The greatest common factor of 9177/978,1140/7582 = [GCF of 9177,1140]/[LCM of 978,7582]= 57/3707598
Therefore, the GCF of 9177/978,1140/7582 is 57/3707598.
To find the highest common factor of 9177,1140, we have to find the factors of both numbers and list the highest common factor.
The factors of 9177 are 1, 3, 7, 19, 21, 23, 57, 69, 133, 161, 399, 437, 483, 1311, 3059, 9177
The factors of 1140 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 38, 57, 60, 76, 95, 114, 190, 228, 285, 380, 570, 1140
The HCF of 9177,1140 is 57.
Lets's calculate GCF of 9177,1140
| 3 | 9177, 1140 |
| 19 | 3059, 380 |
| 161, 20 |
∴ So the GCF of the given numbers is 3 x 19 = 57
Greatest Common Factor of 9177,1140 By Matching Biggest Common Factor Method
Now, list down the factors of 9177
:1,3,7,19,21,23,57,69,133,161,399,437,483,1311,3059,9177
Now, list down the factors of 1140
:1,2,3,4,5,6,10,12,15,19,20,30,38,57,60,76,95,114,190,228,285,380,570,1140
Greatest Common Factor
We found the factors 9177,1140 . The biggest common factor number is the GCF number.
So the greatest common factor 9177,1140 is 57.
Lets's calculate LCM of 978,7582
| 2 | 978, 7582 |
| 489, 3791 |
∴ So the LCM of the given numbers is 2 x 489 x 3791 = 3707598
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 57/3707598
Therefore, the GCF of Fractions 9177/978,1140/7582 is 57/3707598
Least Common Multiple of 978,7582 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 978,7582 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(978,7582) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(978,7582) x common factors =2 x 1 = 2
LCM(978,7582) = ( 978 × 7582 ) / 2
LCM(978,7582) = 7415196 / 2
LCM(978,7582) = 3707598
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 9177/978, 1140/7582
1. What is the HCF of 9177,1140?
The HCF of 9177,1140 is 57
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 9177/978, 1140/7582?
Answer: GCF of Numerators as per given numbers 9177/978, 1140/7582 is
GCF of Numerators i.e. for 9177,1140 is 57
LCM of denominators i.e. for 978,7582 is 3707598.
Thus, GCF of Fractions is 57/3707598.Finally, GCF of Fractions for 9177/978, 1140/7582 is 57/3707598.