GCF of 8259/708, 9574/7395
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8259/708, 9574/7395 i.e 1/1745220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8259/708, 9574/7395.
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 8259/708,9574/7395?
Given fractions are 8259/708,9574/7395
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 8259/708,9574/7395, numerators are 8259,9574
Denominators are 708,7395
The GCF of 8259,9574 is 1 .
LCM of 708,7395 is 1745220.
The greatest common factor of 8259/708,9574/7395 = [GCF of 8259,9574]/[LCM of 708,7395]= 1/1745220
Therefore, the GCF of 8259/708,9574/7395 is 1/1745220.
To find the highest common factor of 8259,9574, we have to find the factors of both numbers and list the highest common factor.
The factors of 8259 are 1, 3, 2753, 8259
The factors of 9574 are 1, 2, 4787, 9574
The HCF of 8259,9574 is 1.
Lets's calculate GCF of 8259,9574
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8259,9574 By Matching Biggest Common Factor Method
Now, list down the factors of 8259
:1,3,2753,8259
Now, list down the factors of 9574
:1,2,4787,9574
Greatest Common Factor
We found the factors 8259,9574 . The biggest common factor number is the GCF number.
So the greatest common factor 8259,9574 is 1.
Lets's calculate LCM of 708,7395
| 3 | 708, 7395 |
| 236, 2465 |
∴ So the LCM of the given numbers is 3 x 236 x 2465 = 1745220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1745220
Therefore, the GCF of Fractions 8259/708,9574/7395 is 1/1745220
Least Common Multiple of 708,7395 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 708,7395 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(708,7395) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(708,7395) x common factors =3 x 1 = 3
LCM(708,7395) = ( 708 × 7395 ) / 3
LCM(708,7395) = 5235660 / 3
LCM(708,7395) = 1745220
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FAQs on GCF of Fractions of 8259/708, 9574/7395
1. What is the HCF of 8259,9574?
The HCF of 8259,9574 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 8259/708, 9574/7395?
Answer: GCF of Numerators as per given numbers 8259/708, 9574/7395 is
GCF of Numerators i.e. for 8259,9574 is 1
LCM of denominators i.e. for 708,7395 is 1745220.
Thus, GCF of Fractions is 1/1745220.Finally, GCF of Fractions for 8259/708, 9574/7395 is 1/1745220.