GCF of 425/9078, 771/9167
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 425/9078, 771/9167 i.e 1/935034 easily. The following is the detailed procedure to determine the greatest common factor of fractions 425/9078, 771/9167.
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 425/9078,771/9167?
Given fractions are 425/9078,771/9167
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 425/9078,771/9167, numerators are 425,771
Denominators are 9078,9167
The GCF of 425,771 is 1 .
LCM of 9078,9167 is 935034.
The greatest common factor of 425/9078,771/9167 = [GCF of 425,771]/[LCM of 9078,9167]= 1/935034
Therefore, the GCF of 425/9078,771/9167 is 1/935034.
To find the highest common factor of 425,771, we have to find the factors of both numbers and list the highest common factor.
The factors of 425 are 1, 5, 17, 25, 85, 425
The factors of 771 are 1, 3, 257, 771
The HCF of 425,771 is 1.
Lets's calculate GCF of 425,771
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 425,771 By Matching Biggest Common Factor Method
Now, list down the factors of 425
:1,5,17,25,85,425
Now, list down the factors of 771
:1,3,257,771
Greatest Common Factor
We found the factors 425,771 . The biggest common factor number is the GCF number.
So the greatest common factor 425,771 is 1.
Lets's calculate LCM of 9078,9167
| 89 | 9078, 9167 |
| 102, 103 |
∴ So the LCM of the given numbers is 89 x 102 x 103 = 935034
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/935034
Therefore, the GCF of Fractions 425/9078,771/9167 is 1/935034
Least Common Multiple of 9078,9167 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 9078,9167 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9078,9167) = 89
common factors(in case of two or more numbers have common factors) = 1
GCF(9078,9167) x common factors =89 x 1 = 89
LCM(9078,9167) = ( 9078 × 9167 ) / 89
LCM(9078,9167) = 83218026 / 89
LCM(9078,9167) = 935034
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FAQs on GCF of Fractions of 425/9078, 771/9167
1. What is the HCF of 425,771?
The HCF of 425,771 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 425/9078, 771/9167?
Answer: GCF of Numerators as per given numbers 425/9078, 771/9167 is
GCF of Numerators i.e. for 425,771 is 1
LCM of denominators i.e. for 9078,9167 is 935034.
Thus, GCF of Fractions is 1/935034.Finally, GCF of Fractions for 425/9078, 771/9167 is 1/935034.