GCF of 1130/154, 7571/811
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1130/154, 7571/811 i.e 113/124894 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1130/154, 7571/811.
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 1130/154,7571/811?
Given fractions are 1130/154,7571/811
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 1130/154,7571/811, numerators are 1130,7571
Denominators are 154,811
The GCF of 1130,7571 is 113 .
LCM of 154,811 is 124894.
The greatest common factor of 1130/154,7571/811 = [GCF of 1130,7571]/[LCM of 154,811]= 113/124894
Therefore, the GCF of 1130/154,7571/811 is 113/124894.
To find the highest common factor of 1130,7571, we have to find the factors of both numbers and list the highest common factor.
The factors of 1130 are 1, 2, 5, 10, 113, 226, 565, 1130
The factors of 7571 are 1, 67, 113, 7571
The HCF of 1130,7571 is 113.
Lets's calculate GCF of 1130,7571
| 113 | 1130, 7571 |
| 10, 67 |
∴ So the GCF of the given numbers is 113 = 113
Greatest Common Factor of 1130,7571 By Matching Biggest Common Factor Method
Now, list down the factors of 1130
:1,2,5,10,113,226,565,1130
Now, list down the factors of 7571
:1,67,113,7571
Greatest Common Factor
We found the factors 1130,7571 . The biggest common factor number is the GCF number.
So the greatest common factor 1130,7571 is 113.
Lets's calculate LCM of 154,811
Given numbers has no common factors except 1. So, there LCM is their product i.e 124894
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 113/124894
Therefore, the GCF of Fractions 1130/154,7571/811 is 113/124894
Least Common Multiple of 154,811 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 154,811 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(154,811) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(154,811) x common factors =1 x 1 = 1
LCM(154,811) = ( 154 × 811 ) / 1
LCM(154,811) = 124894 / 1
LCM(154,811) = 124894
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FAQs on GCF of Fractions of 1130/154, 7571/811
1. What is the HCF of 1130,7571?
The HCF of 1130,7571 is 113
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 1130/154, 7571/811?
Answer: GCF of Numerators as per given numbers 1130/154, 7571/811 is
GCF of Numerators i.e. for 1130,7571 is 113
LCM of denominators i.e. for 154,811 is 124894.
Thus, GCF of Fractions is 113/124894.Finally, GCF of Fractions for 1130/154, 7571/811 is 113/124894.