GCF of 9646/757, 2014/429
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9646/757, 2014/429 i.e 106/324753 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9646/757, 2014/429.
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 9646/757,2014/429?
Given fractions are 9646/757,2014/429
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 9646/757,2014/429, numerators are 9646,2014
Denominators are 757,429
The GCF of 9646,2014 is 106 .
LCM of 757,429 is 324753.
The greatest common factor of 9646/757,2014/429 = [GCF of 9646,2014]/[LCM of 757,429]= 106/324753
Therefore, the GCF of 9646/757,2014/429 is 106/324753.
To find the highest common factor of 9646,2014, we have to find the factors of both numbers and list the highest common factor.
The factors of 9646 are 1, 2, 7, 13, 14, 26, 53, 91, 106, 182, 371, 689, 742, 1378, 4823, 9646
The factors of 2014 are 1, 2, 19, 38, 53, 106, 1007, 2014
The HCF of 9646,2014 is 106.
Lets's calculate GCF of 9646,2014
| 2 | 9646, 2014 |
| 53 | 4823, 1007 |
| 91, 19 |
∴ So the GCF of the given numbers is 2 x 53 = 106
Greatest Common Factor of 9646,2014 By Matching Biggest Common Factor Method
Now, list down the factors of 9646
:1,2,7,13,14,26,53,91,106,182,371,689,742,1378,4823,9646
Now, list down the factors of 2014
:1,2,19,38,53,106,1007,2014
Greatest Common Factor
We found the factors 9646,2014 . The biggest common factor number is the GCF number.
So the greatest common factor 9646,2014 is 106.
Lets's calculate LCM of 757,429
Given numbers has no common factors except 1. So, there LCM is their product i.e 324753
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 106/324753
Therefore, the GCF of Fractions 9646/757,2014/429 is 106/324753
Least Common Multiple of 757,429 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 757,429 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(757,429) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(757,429) x common factors =1 x 1 = 1
LCM(757,429) = ( 757 × 429 ) / 1
LCM(757,429) = 324753 / 1
LCM(757,429) = 324753
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FAQs on GCF of Fractions of 9646/757, 2014/429
1. What is the HCF of 9646,2014?
The HCF of 9646,2014 is 106
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 9646/757, 2014/429?
Answer: GCF of Numerators as per given numbers 9646/757, 2014/429 is
GCF of Numerators i.e. for 9646,2014 is 106
LCM of denominators i.e. for 757,429 is 324753.
Thus, GCF of Fractions is 106/324753.Finally, GCF of Fractions for 9646/757, 2014/429 is 106/324753.