GCF of 7666/529, 9175/4278
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7666/529, 9175/4278 i.e 1/98394 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7666/529, 9175/4278.
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 7666/529,9175/4278?
Given fractions are 7666/529,9175/4278
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 7666/529,9175/4278, numerators are 7666,9175
Denominators are 529,4278
The GCF of 7666,9175 is 1 .
LCM of 529,4278 is 98394.
The greatest common factor of 7666/529,9175/4278 = [GCF of 7666,9175]/[LCM of 529,4278]= 1/98394
Therefore, the GCF of 7666/529,9175/4278 is 1/98394.
To find the highest common factor of 7666,9175, we have to find the factors of both numbers and list the highest common factor.
The factors of 7666 are 1, 2, 3833, 7666
The factors of 9175 are 1, 5, 25, 367, 1835, 9175
The HCF of 7666,9175 is 1.
Lets's calculate GCF of 7666,9175
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7666,9175 By Matching Biggest Common Factor Method
Now, list down the factors of 7666
:1,2,3833,7666
Now, list down the factors of 9175
:1,5,25,367,1835,9175
Greatest Common Factor
We found the factors 7666,9175 . The biggest common factor number is the GCF number.
So the greatest common factor 7666,9175 is 1.
Lets's calculate LCM of 529,4278
| 23 | 529, 4278 |
| 23, 186 |
∴ So the LCM of the given numbers is 23 x 23 x 186 = 98394
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/98394
Therefore, the GCF of Fractions 7666/529,9175/4278 is 1/98394
Least Common Multiple of 529,4278 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 529,4278 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(529,4278) = 23
common factors(in case of two or more numbers have common factors) = 1
GCF(529,4278) x common factors =23 x 1 = 23
LCM(529,4278) = ( 529 × 4278 ) / 23
LCM(529,4278) = 2263062 / 23
LCM(529,4278) = 98394
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FAQs on GCF of Fractions of 7666/529, 9175/4278
1. What is the HCF of 7666,9175?
The HCF of 7666,9175 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 7666/529, 9175/4278?
Answer: GCF of Numerators as per given numbers 7666/529, 9175/4278 is
GCF of Numerators i.e. for 7666,9175 is 1
LCM of denominators i.e. for 529,4278 is 98394.
Thus, GCF of Fractions is 1/98394.Finally, GCF of Fractions for 7666/529, 9175/4278 is 1/98394.