GCF of 9770/302, 3022/129
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9770/302, 3022/129 i.e 2/38958 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9770/302, 3022/129.
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 9770/302,3022/129?
Given fractions are 9770/302,3022/129
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 9770/302,3022/129, numerators are 9770,3022
Denominators are 302,129
The GCF of 9770,3022 is 2 .
LCM of 302,129 is 38958.
The greatest common factor of 9770/302,3022/129 = [GCF of 9770,3022]/[LCM of 302,129]= 2/38958
Therefore, the GCF of 9770/302,3022/129 is 2/38958.
To find the highest common factor of 9770,3022, we have to find the factors of both numbers and list the highest common factor.
The factors of 9770 are 1, 2, 5, 10, 977, 1954, 4885, 9770
The factors of 3022 are 1, 2, 1511, 3022
The HCF of 9770,3022 is 2.
Lets's calculate GCF of 9770,3022
| 2 | 9770, 3022 |
| 4885, 1511 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9770,3022 By Matching Biggest Common Factor Method
Now, list down the factors of 9770
:1,2,5,10,977,1954,4885,9770
Now, list down the factors of 3022
:1,2,1511,3022
Greatest Common Factor
We found the factors 9770,3022 . The biggest common factor number is the GCF number.
So the greatest common factor 9770,3022 is 2.
Lets's calculate LCM of 302,129
Given numbers has no common factors except 1. So, there LCM is their product i.e 38958
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/38958
Therefore, the GCF of Fractions 9770/302,3022/129 is 2/38958
Least Common Multiple of 302,129 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 302,129 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(302,129) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(302,129) x common factors =1 x 1 = 1
LCM(302,129) = ( 302 × 129 ) / 1
LCM(302,129) = 38958 / 1
LCM(302,129) = 38958
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FAQs on GCF of Fractions of 9770/302, 3022/129
1. What is the HCF of 9770,3022?
The HCF of 9770,3022 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 9770/302, 3022/129?
Answer: GCF of Numerators as per given numbers 9770/302, 3022/129 is
GCF of Numerators i.e. for 9770,3022 is 2
LCM of denominators i.e. for 302,129 is 38958.
Thus, GCF of Fractions is 2/38958.Finally, GCF of Fractions for 9770/302, 3022/129 is 2/38958.