GCF of 1148/293, 1372/560
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1148/293, 1372/560 i.e 28/164080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1148/293, 1372/560.
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 1148/293,1372/560?
Given fractions are 1148/293,1372/560
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 1148/293,1372/560, numerators are 1148,1372
Denominators are 293,560
The GCF of 1148,1372 is 28 .
LCM of 293,560 is 164080.
The greatest common factor of 1148/293,1372/560 = [GCF of 1148,1372]/[LCM of 293,560]= 28/164080
Therefore, the GCF of 1148/293,1372/560 is 28/164080.
To find the highest common factor of 1148,1372, we have to find the factors of both numbers and list the highest common factor.
The factors of 1148 are 1, 2, 4, 7, 14, 28, 41, 82, 164, 287, 574, 1148
The factors of 1372 are 1, 2, 4, 7, 14, 28, 49, 98, 196, 343, 686, 1372
The HCF of 1148,1372 is 28.
Lets's calculate GCF of 1148,1372
| 2 | 1148, 1372 |
| 2 | 574, 686 |
| 7 | 287, 343 |
| 41, 49 |
∴ So the GCF of the given numbers is 2 x 2 x 7 = 28
Greatest Common Factor of 1148,1372 By Matching Biggest Common Factor Method
Now, list down the factors of 1148
:1,2,4,7,14,28,41,82,164,287,574,1148
Now, list down the factors of 1372
:1,2,4,7,14,28,49,98,196,343,686,1372
Greatest Common Factor
We found the factors 1148,1372 . The biggest common factor number is the GCF number.
So the greatest common factor 1148,1372 is 28.
Lets's calculate LCM of 293,560
Given numbers has no common factors except 1. So, there LCM is their product i.e 164080
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/164080
Therefore, the GCF of Fractions 1148/293,1372/560 is 28/164080
Least Common Multiple of 293,560 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 293,560 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(293,560) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(293,560) x common factors =1 x 1 = 1
LCM(293,560) = ( 293 × 560 ) / 1
LCM(293,560) = 164080 / 1
LCM(293,560) = 164080
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FAQs on GCF of Fractions of 1148/293, 1372/560
1. What is the HCF of 1148,1372?
The HCF of 1148,1372 is 28
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 1148/293, 1372/560?
Answer: GCF of Numerators as per given numbers 1148/293, 1372/560 is
GCF of Numerators i.e. for 1148,1372 is 28
LCM of denominators i.e. for 293,560 is 164080.
Thus, GCF of Fractions is 28/164080.Finally, GCF of Fractions for 1148/293, 1372/560 is 28/164080.