GCF of 7771/146, 6154/7438
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7771/146, 6154/7438 i.e 1/542974 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7771/146, 6154/7438.
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 7771/146,6154/7438?
Given fractions are 7771/146,6154/7438
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 7771/146,6154/7438, numerators are 7771,6154
Denominators are 146,7438
The GCF of 7771,6154 is 1 .
LCM of 146,7438 is 542974.
The greatest common factor of 7771/146,6154/7438 = [GCF of 7771,6154]/[LCM of 146,7438]= 1/542974
Therefore, the GCF of 7771/146,6154/7438 is 1/542974.
To find the highest common factor of 7771,6154, we have to find the factors of both numbers and list the highest common factor.
The factors of 7771 are 1, 19, 409, 7771
The factors of 6154 are 1, 2, 17, 34, 181, 362, 3077, 6154
The HCF of 7771,6154 is 1.
Lets's calculate GCF of 7771,6154
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7771,6154 By Matching Biggest Common Factor Method
Now, list down the factors of 7771
:1,19,409,7771
Now, list down the factors of 6154
:1,2,17,34,181,362,3077,6154
Greatest Common Factor
We found the factors 7771,6154 . The biggest common factor number is the GCF number.
So the greatest common factor 7771,6154 is 1.
Lets's calculate LCM of 146,7438
| 2 | 146, 7438 |
| 73, 3719 |
∴ So the LCM of the given numbers is 2 x 73 x 3719 = 542974
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/542974
Therefore, the GCF of Fractions 7771/146,6154/7438 is 1/542974
Least Common Multiple of 146,7438 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 146,7438 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(146,7438) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(146,7438) x common factors =2 x 1 = 2
LCM(146,7438) = ( 146 × 7438 ) / 2
LCM(146,7438) = 1085948 / 2
LCM(146,7438) = 542974
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FAQs on GCF of Fractions of 7771/146, 6154/7438
1. What is the HCF of 7771,6154?
The HCF of 7771,6154 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 7771/146, 6154/7438?
Answer: GCF of Numerators as per given numbers 7771/146, 6154/7438 is
GCF of Numerators i.e. for 7771,6154 is 1
LCM of denominators i.e. for 146,7438 is 542974.
Thus, GCF of Fractions is 1/542974.Finally, GCF of Fractions for 7771/146, 6154/7438 is 1/542974.