GCF of 982/70, 169/9966
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 982/70, 169/9966 i.e 1/348810 easily. The following is the detailed procedure to determine the greatest common factor of fractions 982/70, 169/9966.
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 982/70,169/9966?
Given fractions are 982/70,169/9966
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 982/70,169/9966, numerators are 982,169
Denominators are 70,9966
The GCF of 982,169 is 1 .
LCM of 70,9966 is 348810.
The greatest common factor of 982/70,169/9966 = [GCF of 982,169]/[LCM of 70,9966]= 1/348810
Therefore, the GCF of 982/70,169/9966 is 1/348810.
To find the highest common factor of 982,169, we have to find the factors of both numbers and list the highest common factor.
The factors of 982 are 1, 2, 491, 982
The factors of 169 are 1, 13, 169
The HCF of 982,169 is 1.
Lets's calculate GCF of 982,169
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 982,169 By Matching Biggest Common Factor Method
Now, list down the factors of 982
:1,2,491,982
Now, list down the factors of 169
:1,13,169
Greatest Common Factor
We found the factors 982,169 . The biggest common factor number is the GCF number.
So the greatest common factor 982,169 is 1.
Lets's calculate LCM of 70,9966
| 2 | 70, 9966 |
| 35, 4983 |
∴ So the LCM of the given numbers is 2 x 35 x 4983 = 348810
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/348810
Therefore, the GCF of Fractions 982/70,169/9966 is 1/348810
Least Common Multiple of 70,9966 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 70,9966 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,9966) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(70,9966) x common factors =2 x 1 = 2
LCM(70,9966) = ( 70 × 9966 ) / 2
LCM(70,9966) = 697620 / 2
LCM(70,9966) = 348810
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FAQs on GCF of Fractions of 982/70, 169/9966
1. What is the HCF of 982,169?
The HCF of 982,169 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 982/70, 169/9966?
Answer: GCF of Numerators as per given numbers 982/70, 169/9966 is
GCF of Numerators i.e. for 982,169 is 1
LCM of denominators i.e. for 70,9966 is 348810.
Thus, GCF of Fractions is 1/348810.Finally, GCF of Fractions for 982/70, 169/9966 is 1/348810.