GCF of 9455/746, 1178/560
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9455/746, 1178/560 i.e 31/208880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9455/746, 1178/560.
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 9455/746,1178/560?
Given fractions are 9455/746,1178/560
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 9455/746,1178/560, numerators are 9455,1178
Denominators are 746,560
The GCF of 9455,1178 is 31 .
LCM of 746,560 is 208880.
The greatest common factor of 9455/746,1178/560 = [GCF of 9455,1178]/[LCM of 746,560]= 31/208880
Therefore, the GCF of 9455/746,1178/560 is 31/208880.
To find the highest common factor of 9455,1178, we have to find the factors of both numbers and list the highest common factor.
The factors of 9455 are 1, 5, 31, 61, 155, 305, 1891, 9455
The factors of 1178 are 1, 2, 19, 31, 38, 62, 589, 1178
The HCF of 9455,1178 is 31.
Lets's calculate GCF of 9455,1178
| 31 | 9455, 1178 |
| 305, 38 |
∴ So the GCF of the given numbers is 31 = 31
Greatest Common Factor of 9455,1178 By Matching Biggest Common Factor Method
Now, list down the factors of 9455
:1,5,31,61,155,305,1891,9455
Now, list down the factors of 1178
:1,2,19,31,38,62,589,1178
Greatest Common Factor
We found the factors 9455,1178 . The biggest common factor number is the GCF number.
So the greatest common factor 9455,1178 is 31.
Lets's calculate LCM of 746,560
| 2 | 746, 560 |
| 373, 280 |
∴ So the LCM of the given numbers is 2 x 373 x 280 = 208880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/208880
Therefore, the GCF of Fractions 9455/746,1178/560 is 31/208880
Least Common Multiple of 746,560 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 746,560 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(746,560) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(746,560) x common factors =2 x 1 = 2
LCM(746,560) = ( 746 × 560 ) / 2
LCM(746,560) = 417760 / 2
LCM(746,560) = 208880
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FAQs on GCF of Fractions of 9455/746, 1178/560
1. What is the HCF of 9455,1178?
The HCF of 9455,1178 is 31
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 9455/746, 1178/560?
Answer: GCF of Numerators as per given numbers 9455/746, 1178/560 is
GCF of Numerators i.e. for 9455,1178 is 31
LCM of denominators i.e. for 746,560 is 208880.
Thus, GCF of Fractions is 31/208880.Finally, GCF of Fractions for 9455/746, 1178/560 is 31/208880.