GCF of 9245/618, 7694/278
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9245/618, 7694/278 i.e 1/85902 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9245/618, 7694/278.
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 9245/618,7694/278?
Given fractions are 9245/618,7694/278
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 9245/618,7694/278, numerators are 9245,7694
Denominators are 618,278
The GCF of 9245,7694 is 1 .
LCM of 618,278 is 85902.
The greatest common factor of 9245/618,7694/278 = [GCF of 9245,7694]/[LCM of 618,278]= 1/85902
Therefore, the GCF of 9245/618,7694/278 is 1/85902.
To find the highest common factor of 9245,7694, we have to find the factors of both numbers and list the highest common factor.
The factors of 9245 are 1, 5, 43, 215, 1849, 9245
The factors of 7694 are 1, 2, 3847, 7694
The HCF of 9245,7694 is 1.
Lets's calculate GCF of 9245,7694
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9245,7694 By Matching Biggest Common Factor Method
Now, list down the factors of 9245
:1,5,43,215,1849,9245
Now, list down the factors of 7694
:1,2,3847,7694
Greatest Common Factor
We found the factors 9245,7694 . The biggest common factor number is the GCF number.
So the greatest common factor 9245,7694 is 1.
Lets's calculate LCM of 618,278
| 2 | 618, 278 |
| 309, 139 |
∴ So the LCM of the given numbers is 2 x 309 x 139 = 85902
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/85902
Therefore, the GCF of Fractions 9245/618,7694/278 is 1/85902
Least Common Multiple of 618,278 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 618,278 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(618,278) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(618,278) x common factors =2 x 1 = 2
LCM(618,278) = ( 618 × 278 ) / 2
LCM(618,278) = 171804 / 2
LCM(618,278) = 85902
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FAQs on GCF of Fractions of 9245/618, 7694/278
1. What is the HCF of 9245,7694?
The HCF of 9245,7694 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 9245/618, 7694/278?
Answer: GCF of Numerators as per given numbers 9245/618, 7694/278 is
GCF of Numerators i.e. for 9245,7694 is 1
LCM of denominators i.e. for 618,278 is 85902.
Thus, GCF of Fractions is 1/85902.Finally, GCF of Fractions for 9245/618, 7694/278 is 1/85902.