GCF of 5140/567, 1150/754
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5140/567, 1150/754 i.e 10/427518 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5140/567, 1150/754.
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 5140/567,1150/754?
Given fractions are 5140/567,1150/754
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 5140/567,1150/754, numerators are 5140,1150
Denominators are 567,754
The GCF of 5140,1150 is 10 .
LCM of 567,754 is 427518.
The greatest common factor of 5140/567,1150/754 = [GCF of 5140,1150]/[LCM of 567,754]= 10/427518
Therefore, the GCF of 5140/567,1150/754 is 10/427518.
To find the highest common factor of 5140,1150, we have to find the factors of both numbers and list the highest common factor.
The factors of 5140 are 1, 2, 4, 5, 10, 20, 257, 514, 1028, 1285, 2570, 5140
The factors of 1150 are 1, 2, 5, 10, 23, 25, 46, 50, 115, 230, 575, 1150
The HCF of 5140,1150 is 10.
Lets's calculate GCF of 5140,1150
| 2 | 5140, 1150 |
| 5 | 2570, 575 |
| 514, 115 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 5140,1150 By Matching Biggest Common Factor Method
Now, list down the factors of 5140
:1,2,4,5,10,20,257,514,1028,1285,2570,5140
Now, list down the factors of 1150
:1,2,5,10,23,25,46,50,115,230,575,1150
Greatest Common Factor
We found the factors 5140,1150 . The biggest common factor number is the GCF number.
So the greatest common factor 5140,1150 is 10.
Lets's calculate LCM of 567,754
Given numbers has no common factors except 1. So, there LCM is their product i.e 427518
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/427518
Therefore, the GCF of Fractions 5140/567,1150/754 is 10/427518
Least Common Multiple of 567,754 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 567,754 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(567,754) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(567,754) x common factors =1 x 1 = 1
LCM(567,754) = ( 567 × 754 ) / 1
LCM(567,754) = 427518 / 1
LCM(567,754) = 427518
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FAQs on GCF of Fractions of 5140/567, 1150/754
1. What is the HCF of 5140,1150?
The HCF of 5140,1150 is 10
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 5140/567, 1150/754?
Answer: GCF of Numerators as per given numbers 5140/567, 1150/754 is
GCF of Numerators i.e. for 5140,1150 is 10
LCM of denominators i.e. for 567,754 is 427518.
Thus, GCF of Fractions is 10/427518.Finally, GCF of Fractions for 5140/567, 1150/754 is 10/427518.