GCF of 2326/714, 8570/9538
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2326/714, 8570/9538 i.e 2/3405066 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2326/714, 8570/9538.
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 2326/714,8570/9538?
Given fractions are 2326/714,8570/9538
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 2326/714,8570/9538, numerators are 2326,8570
Denominators are 714,9538
The GCF of 2326,8570 is 2 .
LCM of 714,9538 is 3405066.
The greatest common factor of 2326/714,8570/9538 = [GCF of 2326,8570]/[LCM of 714,9538]= 2/3405066
Therefore, the GCF of 2326/714,8570/9538 is 2/3405066.
To find the highest common factor of 2326,8570, we have to find the factors of both numbers and list the highest common factor.
The factors of 2326 are 1, 2, 1163, 2326
The factors of 8570 are 1, 2, 5, 10, 857, 1714, 4285, 8570
The HCF of 2326,8570 is 2.
Lets's calculate GCF of 2326,8570
| 2 | 2326, 8570 |
| 1163, 4285 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2326,8570 By Matching Biggest Common Factor Method
Now, list down the factors of 2326
:1,2,1163,2326
Now, list down the factors of 8570
:1,2,5,10,857,1714,4285,8570
Greatest Common Factor
We found the factors 2326,8570 . The biggest common factor number is the GCF number.
So the greatest common factor 2326,8570 is 2.
Lets's calculate LCM of 714,9538
| 2 | 714, 9538 |
| 357, 4769 |
∴ So the LCM of the given numbers is 2 x 357 x 4769 = 3405066
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3405066
Therefore, the GCF of Fractions 2326/714,8570/9538 is 2/3405066
Least Common Multiple of 714,9538 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 714,9538 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(714,9538) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(714,9538) x common factors =2 x 1 = 2
LCM(714,9538) = ( 714 × 9538 ) / 2
LCM(714,9538) = 6810132 / 2
LCM(714,9538) = 3405066
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FAQs on GCF of Fractions of 2326/714, 8570/9538
1. What is the HCF of 2326,8570?
The HCF of 2326,8570 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 2326/714, 8570/9538?
Answer: GCF of Numerators as per given numbers 2326/714, 8570/9538 is
GCF of Numerators i.e. for 2326,8570 is 2
LCM of denominators i.e. for 714,9538 is 3405066.
Thus, GCF of Fractions is 2/3405066.Finally, GCF of Fractions for 2326/714, 8570/9538 is 2/3405066.