GCF of 98/565, 25/424, 216/648
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 98/565, 25/424, 216/648 i.e 1/19404360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 98/565, 25/424, 216/648.
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 98/565,25/424,216/648?
Given fractions are 98/565,25/424,216/648
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 98/565,25/424,216/648, numerators are 98,25,216
Denominators are 565,424,648
The GCF of 98,25,216 is 1 .
LCM of 565,424,648 is 19404360.
The greatest common factor of 98/565,25/424,216/648 = [GCF of 98,25,216]/[LCM of 565,424,648]= 1/19404360
Therefore, the GCF of 98/565,25/424,216/648 is 1/19404360.
To find the highest common factor of 98,25,216, we have to find the factors of both numbers and list the highest common factor.
The factors of 98 are 1, 2, 7, 14, 49, 98
The factors of 25 are 1, 5, 25
The factors of 216 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
The HCF of 98,25,216 is 1.
Lets's calculate GCF of 98,25,216
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 98,25,216 By Matching Biggest Common Factor Method
Now, list down the factors of 98
:1,2,7,14,49,98
Now, list down the factors of 25
:1,5,25
Now, list down the factors of 216
:1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216
Greatest Common Factor
We found the factors 98,25,216 . The biggest common factor number is the GCF number.
So the greatest common factor 98,25,216 is 1.
Lets's calculate LCM of 565,424,648
| 2 | 565, 424, 648 |
| 2 | 565, 212, 324 |
| 2 | 565, 106, 162 |
| 565, 53, 81 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 565 x 53 x 81 = 19404360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19404360
Therefore, the GCF of Fractions 98/565,25/424,216/648 is 1/19404360
Least Common Multiple of 565,424,648 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 565,424,648 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(565,424,648) = 1
common factors(in case of two or more numbers have common factors) = 8
GCF(565,424,648) x common factors =1 x 8 = 8
LCM(565,424,648) = ( 565 × 424 × 648 ) / 8
LCM(565,424,648) = 155234880 / 8
LCM(565,424,648) = 19404360
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FAQs on GCF of Fractions of 98/565, 25/424, 216/648
1. What is the HCF of 98,25,216?
The HCF of 98,25,216 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 98/565, 25/424, 216/648?
Answer: GCF of Numerators as per given numbers 98/565, 25/424, 216/648 is
GCF of Numerators i.e. for 98,25,216 is 1
LCM of denominators i.e. for 565,424,648 is 19404360.
Thus, GCF of Fractions is 1/19404360.Finally, GCF of Fractions for 98/565, 25/424, 216/648 is 1/19404360.