GCF of 8797/434, 7146/102
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8797/434, 7146/102 i.e 1/22134 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8797/434, 7146/102.
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 8797/434,7146/102?
Given fractions are 8797/434,7146/102
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 8797/434,7146/102, numerators are 8797,7146
Denominators are 434,102
The GCF of 8797,7146 is 1 .
LCM of 434,102 is 22134.
The greatest common factor of 8797/434,7146/102 = [GCF of 8797,7146]/[LCM of 434,102]= 1/22134
Therefore, the GCF of 8797/434,7146/102 is 1/22134.
To find the highest common factor of 8797,7146, we have to find the factors of both numbers and list the highest common factor.
The factors of 8797 are 1, 19, 463, 8797
The factors of 7146 are 1, 2, 3, 6, 9, 18, 397, 794, 1191, 2382, 3573, 7146
The HCF of 8797,7146 is 1.
Lets's calculate GCF of 8797,7146
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8797,7146 By Matching Biggest Common Factor Method
Now, list down the factors of 8797
:1,19,463,8797
Now, list down the factors of 7146
:1,2,3,6,9,18,397,794,1191,2382,3573,7146
Greatest Common Factor
We found the factors 8797,7146 . The biggest common factor number is the GCF number.
So the greatest common factor 8797,7146 is 1.
Lets's calculate LCM of 434,102
| 2 | 434, 102 |
| 217, 51 |
∴ So the LCM of the given numbers is 2 x 217 x 51 = 22134
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22134
Therefore, the GCF of Fractions 8797/434,7146/102 is 1/22134
Least Common Multiple of 434,102 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 434,102 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(434,102) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(434,102) x common factors =2 x 1 = 2
LCM(434,102) = ( 434 × 102 ) / 2
LCM(434,102) = 44268 / 2
LCM(434,102) = 22134
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FAQs on GCF of Fractions of 8797/434, 7146/102
1. What is the HCF of 8797,7146?
The HCF of 8797,7146 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 8797/434, 7146/102?
Answer: GCF of Numerators as per given numbers 8797/434, 7146/102 is
GCF of Numerators i.e. for 8797,7146 is 1
LCM of denominators i.e. for 434,102 is 22134.
Thus, GCF of Fractions is 1/22134.Finally, GCF of Fractions for 8797/434, 7146/102 is 1/22134.