GCF of 3964/170, 2969/9208
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3964/170, 2969/9208 i.e 1/782680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3964/170, 2969/9208.
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 3964/170,2969/9208?
Given fractions are 3964/170,2969/9208
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 3964/170,2969/9208, numerators are 3964,2969
Denominators are 170,9208
The GCF of 3964,2969 is 1 .
LCM of 170,9208 is 782680.
The greatest common factor of 3964/170,2969/9208 = [GCF of 3964,2969]/[LCM of 170,9208]= 1/782680
Therefore, the GCF of 3964/170,2969/9208 is 1/782680.
To find the highest common factor of 3964,2969, we have to find the factors of both numbers and list the highest common factor.
The factors of 3964 are 1, 2, 4, 991, 1982, 3964
The factors of 2969 are 1, 2969
The HCF of 3964,2969 is 1.
Lets's calculate GCF of 3964,2969
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3964,2969 By Matching Biggest Common Factor Method
Now, list down the factors of 3964
:1,2,4,991,1982,3964
Now, list down the factors of 2969
:1,2969
Greatest Common Factor
We found the factors 3964,2969 . The biggest common factor number is the GCF number.
So the greatest common factor 3964,2969 is 1.
Lets's calculate LCM of 170,9208
| 2 | 170, 9208 |
| 85, 4604 |
∴ So the LCM of the given numbers is 2 x 85 x 4604 = 782680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/782680
Therefore, the GCF of Fractions 3964/170,2969/9208 is 1/782680
Least Common Multiple of 170,9208 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 170,9208 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(170,9208) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(170,9208) x common factors =2 x 1 = 2
LCM(170,9208) = ( 170 × 9208 ) / 2
LCM(170,9208) = 1565360 / 2
LCM(170,9208) = 782680
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FAQs on GCF of Fractions of 3964/170, 2969/9208
1. What is the HCF of 3964,2969?
The HCF of 3964,2969 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 3964/170, 2969/9208?
Answer: GCF of Numerators as per given numbers 3964/170, 2969/9208 is
GCF of Numerators i.e. for 3964,2969 is 1
LCM of denominators i.e. for 170,9208 is 782680.
Thus, GCF of Fractions is 1/782680.Finally, GCF of Fractions for 3964/170, 2969/9208 is 1/782680.