GCF of 9454/533, 9714/7079
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9454/533, 9714/7079 i.e 2/3773107 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9454/533, 9714/7079.
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 9454/533,9714/7079?
Given fractions are 9454/533,9714/7079
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 9454/533,9714/7079, numerators are 9454,9714
Denominators are 533,7079
The GCF of 9454,9714 is 2 .
LCM of 533,7079 is 3773107.
The greatest common factor of 9454/533,9714/7079 = [GCF of 9454,9714]/[LCM of 533,7079]= 2/3773107
Therefore, the GCF of 9454/533,9714/7079 is 2/3773107.
To find the highest common factor of 9454,9714, we have to find the factors of both numbers and list the highest common factor.
The factors of 9454 are 1, 2, 29, 58, 163, 326, 4727, 9454
The factors of 9714 are 1, 2, 3, 6, 1619, 3238, 4857, 9714
The HCF of 9454,9714 is 2.
Lets's calculate GCF of 9454,9714
| 2 | 9454, 9714 |
| 4727, 4857 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9454,9714 By Matching Biggest Common Factor Method
Now, list down the factors of 9454
:1,2,29,58,163,326,4727,9454
Now, list down the factors of 9714
:1,2,3,6,1619,3238,4857,9714
Greatest Common Factor
We found the factors 9454,9714 . The biggest common factor number is the GCF number.
So the greatest common factor 9454,9714 is 2.
Lets's calculate LCM of 533,7079
Given numbers has no common factors except 1. So, there LCM is their product i.e 3773107
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3773107
Therefore, the GCF of Fractions 9454/533,9714/7079 is 2/3773107
Least Common Multiple of 533,7079 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 533,7079 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(533,7079) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(533,7079) x common factors =1 x 1 = 1
LCM(533,7079) = ( 533 × 7079 ) / 1
LCM(533,7079) = 3773107 / 1
LCM(533,7079) = 3773107
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FAQs on GCF of Fractions of 9454/533, 9714/7079
1. What is the HCF of 9454,9714?
The HCF of 9454,9714 is 2
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 9454/533, 9714/7079?
Answer: GCF of Numerators as per given numbers 9454/533, 9714/7079 is
GCF of Numerators i.e. for 9454,9714 is 2
LCM of denominators i.e. for 533,7079 is 3773107.
Thus, GCF of Fractions is 2/3773107.Finally, GCF of Fractions for 9454/533, 9714/7079 is 2/3773107.