GCF of 98/966, 1675/3451
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 98/966, 1675/3451 i.e 1/476238 easily. The following is the detailed procedure to determine the greatest common factor of fractions 98/966, 1675/3451.
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 98/966,1675/3451?
Given fractions are 98/966,1675/3451
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 98/966,1675/3451, numerators are 98,1675
Denominators are 966,3451
The GCF of 98,1675 is 1 .
LCM of 966,3451 is 476238.
The greatest common factor of 98/966,1675/3451 = [GCF of 98,1675]/[LCM of 966,3451]= 1/476238
Therefore, the GCF of 98/966,1675/3451 is 1/476238.
To find the highest common factor of 98,1675, 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 1675 are 1, 5, 25, 67, 335, 1675
The HCF of 98,1675 is 1.
Lets's calculate GCF of 98,1675
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 98,1675 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 1675
:1,5,25,67,335,1675
Greatest Common Factor
We found the factors 98,1675 . The biggest common factor number is the GCF number.
So the greatest common factor 98,1675 is 1.
Lets's calculate LCM of 966,3451
| 7 | 966, 3451 |
| 138, 493 |
∴ So the LCM of the given numbers is 7 x 138 x 493 = 476238
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/476238
Therefore, the GCF of Fractions 98/966,1675/3451 is 1/476238
Least Common Multiple of 966,3451 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 966,3451 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(966,3451) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(966,3451) x common factors =7 x 1 = 7
LCM(966,3451) = ( 966 × 3451 ) / 7
LCM(966,3451) = 3333666 / 7
LCM(966,3451) = 476238
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FAQs on GCF of Fractions of 98/966, 1675/3451
1. What is the HCF of 98,1675?
The HCF of 98,1675 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 98/966, 1675/3451?
Answer: GCF of Numerators as per given numbers 98/966, 1675/3451 is
GCF of Numerators i.e. for 98,1675 is 1
LCM of denominators i.e. for 966,3451 is 476238.
Thus, GCF of Fractions is 1/476238.Finally, GCF of Fractions for 98/966, 1675/3451 is 1/476238.