GCF of 1708/598, 9981/7222
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1708/598, 9981/7222 i.e 1/93886 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1708/598, 9981/7222.
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 1708/598,9981/7222?
Given fractions are 1708/598,9981/7222
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 1708/598,9981/7222, numerators are 1708,9981
Denominators are 598,7222
The GCF of 1708,9981 is 1 .
LCM of 598,7222 is 93886.
The greatest common factor of 1708/598,9981/7222 = [GCF of 1708,9981]/[LCM of 598,7222]= 1/93886
Therefore, the GCF of 1708/598,9981/7222 is 1/93886.
To find the highest common factor of 1708,9981, we have to find the factors of both numbers and list the highest common factor.
The factors of 1708 are 1, 2, 4, 7, 14, 28, 61, 122, 244, 427, 854, 1708
The factors of 9981 are 1, 3, 9, 1109, 3327, 9981
The HCF of 1708,9981 is 1.
Lets's calculate GCF of 1708,9981
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1708,9981 By Matching Biggest Common Factor Method
Now, list down the factors of 1708
:1,2,4,7,14,28,61,122,244,427,854,1708
Now, list down the factors of 9981
:1,3,9,1109,3327,9981
Greatest Common Factor
We found the factors 1708,9981 . The biggest common factor number is the GCF number.
So the greatest common factor 1708,9981 is 1.
Lets's calculate LCM of 598,7222
| 2 | 598, 7222 |
| 23 | 299, 3611 |
| 13, 157 |
∴ So the LCM of the given numbers is 2 x 23 x 13 x 157 = 93886
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/93886
Therefore, the GCF of Fractions 1708/598,9981/7222 is 1/93886
Least Common Multiple of 598,7222 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 598,7222 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(598,7222) = 46
common factors(in case of two or more numbers have common factors) = 1
GCF(598,7222) x common factors =46 x 1 = 46
LCM(598,7222) = ( 598 × 7222 ) / 46
LCM(598,7222) = 4318756 / 46
LCM(598,7222) = 93886
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FAQs on GCF of Fractions of 1708/598, 9981/7222
1. What is the HCF of 1708,9981?
The HCF of 1708,9981 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 1708/598, 9981/7222?
Answer: GCF of Numerators as per given numbers 1708/598, 9981/7222 is
GCF of Numerators i.e. for 1708,9981 is 1
LCM of denominators i.e. for 598,7222 is 93886.
Thus, GCF of Fractions is 1/93886.Finally, GCF of Fractions for 1708/598, 9981/7222 is 1/93886.