GCF of 1037/570, 1187/6172
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1037/570, 1187/6172 i.e 1/1759020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1037/570, 1187/6172.
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 1037/570,1187/6172?
Given fractions are 1037/570,1187/6172
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 1037/570,1187/6172, numerators are 1037,1187
Denominators are 570,6172
The GCF of 1037,1187 is 1 .
LCM of 570,6172 is 1759020.
The greatest common factor of 1037/570,1187/6172 = [GCF of 1037,1187]/[LCM of 570,6172]= 1/1759020
Therefore, the GCF of 1037/570,1187/6172 is 1/1759020.
To find the highest common factor of 1037,1187, we have to find the factors of both numbers and list the highest common factor.
The factors of 1037 are 1, 17, 61, 1037
The factors of 1187 are 1, 1187
The HCF of 1037,1187 is 1.
Lets's calculate GCF of 1037,1187
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1037,1187 By Matching Biggest Common Factor Method
Now, list down the factors of 1037
:1,17,61,1037
Now, list down the factors of 1187
:1,1187
Greatest Common Factor
We found the factors 1037,1187 . The biggest common factor number is the GCF number.
So the greatest common factor 1037,1187 is 1.
Lets's calculate LCM of 570,6172
| 2 | 570, 6172 |
| 285, 3086 |
∴ So the LCM of the given numbers is 2 x 285 x 3086 = 1759020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1759020
Therefore, the GCF of Fractions 1037/570,1187/6172 is 1/1759020
Least Common Multiple of 570,6172 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 570,6172 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(570,6172) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(570,6172) x common factors =2 x 1 = 2
LCM(570,6172) = ( 570 × 6172 ) / 2
LCM(570,6172) = 3518040 / 2
LCM(570,6172) = 1759020
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FAQs on GCF of Fractions of 1037/570, 1187/6172
1. What is the HCF of 1037,1187?
The HCF of 1037,1187 is 1
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 1037/570, 1187/6172?
Answer: GCF of Numerators as per given numbers 1037/570, 1187/6172 is
GCF of Numerators i.e. for 1037,1187 is 1
LCM of denominators i.e. for 570,6172 is 1759020.
Thus, GCF of Fractions is 1/1759020.Finally, GCF of Fractions for 1037/570, 1187/6172 is 1/1759020.