GCF of 8269/966, 7351/9134
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8269/966, 7351/9134 i.e 1/4411722 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8269/966, 7351/9134.
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 8269/966,7351/9134?
Given fractions are 8269/966,7351/9134
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 8269/966,7351/9134, numerators are 8269,7351
Denominators are 966,9134
The GCF of 8269,7351 is 1 .
LCM of 966,9134 is 4411722.
The greatest common factor of 8269/966,7351/9134 = [GCF of 8269,7351]/[LCM of 966,9134]= 1/4411722
Therefore, the GCF of 8269/966,7351/9134 is 1/4411722.
To find the highest common factor of 8269,7351, we have to find the factors of both numbers and list the highest common factor.
The factors of 8269 are 1, 8269
The factors of 7351 are 1, 7351
The HCF of 8269,7351 is 1.
Lets's calculate GCF of 8269,7351
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8269,7351 By Matching Biggest Common Factor Method
Now, list down the factors of 8269
:1,8269
Now, list down the factors of 7351
:1,7351
Greatest Common Factor
We found the factors 8269,7351 . The biggest common factor number is the GCF number.
So the greatest common factor 8269,7351 is 1.
Lets's calculate LCM of 966,9134
| 2 | 966, 9134 |
| 483, 4567 |
∴ So the LCM of the given numbers is 2 x 483 x 4567 = 4411722
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4411722
Therefore, the GCF of Fractions 8269/966,7351/9134 is 1/4411722
Least Common Multiple of 966,9134 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 966,9134 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(966,9134) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(966,9134) x common factors =2 x 1 = 2
LCM(966,9134) = ( 966 × 9134 ) / 2
LCM(966,9134) = 8823444 / 2
LCM(966,9134) = 4411722
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FAQs on GCF of Fractions of 8269/966, 7351/9134
1. What is the HCF of 8269,7351?
The HCF of 8269,7351 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 8269/966, 7351/9134?
Answer: GCF of Numerators as per given numbers 8269/966, 7351/9134 is
GCF of Numerators i.e. for 8269,7351 is 1
LCM of denominators i.e. for 966,9134 is 4411722.
Thus, GCF of Fractions is 1/4411722.Finally, GCF of Fractions for 8269/966, 7351/9134 is 1/4411722.