GCF of 8254/309, 9968/597
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8254/309, 9968/597 i.e 2/61491 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8254/309, 9968/597.
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 8254/309,9968/597?
Given fractions are 8254/309,9968/597
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 8254/309,9968/597, numerators are 8254,9968
Denominators are 309,597
The GCF of 8254,9968 is 2 .
LCM of 309,597 is 61491.
The greatest common factor of 8254/309,9968/597 = [GCF of 8254,9968]/[LCM of 309,597]= 2/61491
Therefore, the GCF of 8254/309,9968/597 is 2/61491.
To find the highest common factor of 8254,9968, we have to find the factors of both numbers and list the highest common factor.
The factors of 8254 are 1, 2, 4127, 8254
The factors of 9968 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 89, 112, 178, 356, 623, 712, 1246, 1424, 2492, 4984, 9968
The HCF of 8254,9968 is 2.
Lets's calculate GCF of 8254,9968
| 2 | 8254, 9968 |
| 4127, 4984 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8254,9968 By Matching Biggest Common Factor Method
Now, list down the factors of 8254
:1,2,4127,8254
Now, list down the factors of 9968
:1,2,4,7,8,14,16,28,56,89,112,178,356,623,712,1246,1424,2492,4984,9968
Greatest Common Factor
We found the factors 8254,9968 . The biggest common factor number is the GCF number.
So the greatest common factor 8254,9968 is 2.
Lets's calculate LCM of 309,597
| 3 | 309, 597 |
| 103, 199 |
∴ So the LCM of the given numbers is 3 x 103 x 199 = 61491
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/61491
Therefore, the GCF of Fractions 8254/309,9968/597 is 2/61491
Least Common Multiple of 309,597 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 309,597 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(309,597) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(309,597) x common factors =3 x 1 = 3
LCM(309,597) = ( 309 × 597 ) / 3
LCM(309,597) = 184473 / 3
LCM(309,597) = 61491
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FAQs on GCF of Fractions of 8254/309, 9968/597
1. What is the HCF of 8254,9968?
The HCF of 8254,9968 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 8254/309, 9968/597?
Answer: GCF of Numerators as per given numbers 8254/309, 9968/597 is
GCF of Numerators i.e. for 8254,9968 is 2
LCM of denominators i.e. for 309,597 is 61491.
Thus, GCF of Fractions is 2/61491.Finally, GCF of Fractions for 8254/309, 9968/597 is 2/61491.