GCF of 6954/677, 3970/122
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6954/677, 3970/122 i.e 2/82594 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6954/677, 3970/122.
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 6954/677,3970/122?
Given fractions are 6954/677,3970/122
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 6954/677,3970/122, numerators are 6954,3970
Denominators are 677,122
The GCF of 6954,3970 is 2 .
LCM of 677,122 is 82594.
The greatest common factor of 6954/677,3970/122 = [GCF of 6954,3970]/[LCM of 677,122]= 2/82594
Therefore, the GCF of 6954/677,3970/122 is 2/82594.
To find the highest common factor of 6954,3970, we have to find the factors of both numbers and list the highest common factor.
The factors of 6954 are 1, 2, 3, 6, 19, 38, 57, 61, 114, 122, 183, 366, 1159, 2318, 3477, 6954
The factors of 3970 are 1, 2, 5, 10, 397, 794, 1985, 3970
The HCF of 6954,3970 is 2.
Lets's calculate GCF of 6954,3970
| 2 | 6954, 3970 |
| 3477, 1985 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6954,3970 By Matching Biggest Common Factor Method
Now, list down the factors of 6954
:1,2,3,6,19,38,57,61,114,122,183,366,1159,2318,3477,6954
Now, list down the factors of 3970
:1,2,5,10,397,794,1985,3970
Greatest Common Factor
We found the factors 6954,3970 . The biggest common factor number is the GCF number.
So the greatest common factor 6954,3970 is 2.
Lets's calculate LCM of 677,122
Given numbers has no common factors except 1. So, there LCM is their product i.e 82594
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/82594
Therefore, the GCF of Fractions 6954/677,3970/122 is 2/82594
Least Common Multiple of 677,122 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 677,122 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(677,122) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(677,122) x common factors =1 x 1 = 1
LCM(677,122) = ( 677 × 122 ) / 1
LCM(677,122) = 82594 / 1
LCM(677,122) = 82594
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FAQs on GCF of Fractions of 6954/677, 3970/122
1. What is the HCF of 6954,3970?
The HCF of 6954,3970 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 6954/677, 3970/122?
Answer: GCF of Numerators as per given numbers 6954/677, 3970/122 is
GCF of Numerators i.e. for 6954,3970 is 2
LCM of denominators i.e. for 677,122 is 82594.
Thus, GCF of Fractions is 2/82594.Finally, GCF of Fractions for 6954/677, 3970/122 is 2/82594.