GCF of 766/166, 9142/7573
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 766/166, 9142/7573 i.e 2/1257118 easily. The following is the detailed procedure to determine the greatest common factor of fractions 766/166, 9142/7573.
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 766/166,9142/7573?
Given fractions are 766/166,9142/7573
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 766/166,9142/7573, numerators are 766,9142
Denominators are 166,7573
The GCF of 766,9142 is 2 .
LCM of 166,7573 is 1257118.
The greatest common factor of 766/166,9142/7573 = [GCF of 766,9142]/[LCM of 166,7573]= 2/1257118
Therefore, the GCF of 766/166,9142/7573 is 2/1257118.
To find the highest common factor of 766,9142, we have to find the factors of both numbers and list the highest common factor.
The factors of 766 are 1, 2, 383, 766
The factors of 9142 are 1, 2, 7, 14, 653, 1306, 4571, 9142
The HCF of 766,9142 is 2.
Lets's calculate GCF of 766,9142
| 2 | 766, 9142 |
| 383, 4571 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 766,9142 By Matching Biggest Common Factor Method
Now, list down the factors of 766
:1,2,383,766
Now, list down the factors of 9142
:1,2,7,14,653,1306,4571,9142
Greatest Common Factor
We found the factors 766,9142 . The biggest common factor number is the GCF number.
So the greatest common factor 766,9142 is 2.
Lets's calculate LCM of 166,7573
Given numbers has no common factors except 1. So, there LCM is their product i.e 1257118
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1257118
Therefore, the GCF of Fractions 766/166,9142/7573 is 2/1257118
Least Common Multiple of 166,7573 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 166,7573 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(166,7573) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(166,7573) x common factors =1 x 1 = 1
LCM(166,7573) = ( 166 × 7573 ) / 1
LCM(166,7573) = 1257118 / 1
LCM(166,7573) = 1257118
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FAQs on GCF of Fractions of 766/166, 9142/7573
1. What is the HCF of 766,9142?
The HCF of 766,9142 is 2
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 766/166, 9142/7573?
Answer: GCF of Numerators as per given numbers 766/166, 9142/7573 is
GCF of Numerators i.e. for 766,9142 is 2
LCM of denominators i.e. for 166,7573 is 1257118.
Thus, GCF of Fractions is 2/1257118.Finally, GCF of Fractions for 766/166, 9142/7573 is 2/1257118.