GCF of 2067/422, 8346/151
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2067/422, 8346/151 i.e 39/63722 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2067/422, 8346/151.
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 2067/422,8346/151?
Given fractions are 2067/422,8346/151
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 2067/422,8346/151, numerators are 2067,8346
Denominators are 422,151
The GCF of 2067,8346 is 39 .
LCM of 422,151 is 63722.
The greatest common factor of 2067/422,8346/151 = [GCF of 2067,8346]/[LCM of 422,151]= 39/63722
Therefore, the GCF of 2067/422,8346/151 is 39/63722.
To find the highest common factor of 2067,8346, we have to find the factors of both numbers and list the highest common factor.
The factors of 2067 are 1, 3, 13, 39, 53, 159, 689, 2067
The factors of 8346 are 1, 2, 3, 6, 13, 26, 39, 78, 107, 214, 321, 642, 1391, 2782, 4173, 8346
The HCF of 2067,8346 is 39.
Lets's calculate GCF of 2067,8346
| 3 | 2067, 8346 |
| 13 | 689, 2782 |
| 53, 214 |
∴ So the GCF of the given numbers is 3 x 13 = 39
Greatest Common Factor of 2067,8346 By Matching Biggest Common Factor Method
Now, list down the factors of 2067
:1,3,13,39,53,159,689,2067
Now, list down the factors of 8346
:1,2,3,6,13,26,39,78,107,214,321,642,1391,2782,4173,8346
Greatest Common Factor
We found the factors 2067,8346 . The biggest common factor number is the GCF number.
So the greatest common factor 2067,8346 is 39.
Lets's calculate LCM of 422,151
Given numbers has no common factors except 1. So, there LCM is their product i.e 63722
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 39/63722
Therefore, the GCF of Fractions 2067/422,8346/151 is 39/63722
Least Common Multiple of 422,151 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 422,151 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(422,151) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(422,151) x common factors =1 x 1 = 1
LCM(422,151) = ( 422 × 151 ) / 1
LCM(422,151) = 63722 / 1
LCM(422,151) = 63722
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FAQs on GCF of Fractions of 2067/422, 8346/151
1. What is the HCF of 2067,8346?
The HCF of 2067,8346 is 39
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 2067/422, 8346/151?
Answer: GCF of Numerators as per given numbers 2067/422, 8346/151 is
GCF of Numerators i.e. for 2067,8346 is 39
LCM of denominators i.e. for 422,151 is 63722.
Thus, GCF of Fractions is 39/63722.Finally, GCF of Fractions for 2067/422, 8346/151 is 39/63722.