GCF of 1422/135, 3760/9679
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1422/135, 3760/9679 i.e 2/1306665 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1422/135, 3760/9679.
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 1422/135,3760/9679?
Given fractions are 1422/135,3760/9679
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 1422/135,3760/9679, numerators are 1422,3760
Denominators are 135,9679
The GCF of 1422,3760 is 2 .
LCM of 135,9679 is 1306665.
The greatest common factor of 1422/135,3760/9679 = [GCF of 1422,3760]/[LCM of 135,9679]= 2/1306665
Therefore, the GCF of 1422/135,3760/9679 is 2/1306665.
To find the highest common factor of 1422,3760, we have to find the factors of both numbers and list the highest common factor.
The factors of 1422 are 1, 2, 3, 6, 9, 18, 79, 158, 237, 474, 711, 1422
The factors of 3760 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 47, 80, 94, 188, 235, 376, 470, 752, 940, 1880, 3760
The HCF of 1422,3760 is 2.
Lets's calculate GCF of 1422,3760
| 2 | 1422, 3760 |
| 711, 1880 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1422,3760 By Matching Biggest Common Factor Method
Now, list down the factors of 1422
:1,2,3,6,9,18,79,158,237,474,711,1422
Now, list down the factors of 3760
:1,2,4,5,8,10,16,20,40,47,80,94,188,235,376,470,752,940,1880,3760
Greatest Common Factor
We found the factors 1422,3760 . The biggest common factor number is the GCF number.
So the greatest common factor 1422,3760 is 2.
Lets's calculate LCM of 135,9679
Given numbers has no common factors except 1. So, there LCM is their product i.e 1306665
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1306665
Therefore, the GCF of Fractions 1422/135,3760/9679 is 2/1306665
Least Common Multiple of 135,9679 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 135,9679 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(135,9679) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(135,9679) x common factors =1 x 1 = 1
LCM(135,9679) = ( 135 × 9679 ) / 1
LCM(135,9679) = 1306665 / 1
LCM(135,9679) = 1306665
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FAQs on GCF of Fractions of 1422/135, 3760/9679
1. What is the HCF of 1422,3760?
The HCF of 1422,3760 is 2
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 1422/135, 3760/9679?
Answer: GCF of Numerators as per given numbers 1422/135, 3760/9679 is
GCF of Numerators i.e. for 1422,3760 is 2
LCM of denominators i.e. for 135,9679 is 1306665.
Thus, GCF of Fractions is 2/1306665.Finally, GCF of Fractions for 1422/135, 3760/9679 is 2/1306665.