GCF of 7086/107, 1948/418
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7086/107, 1948/418 i.e 2/44726 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7086/107, 1948/418.
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 7086/107,1948/418?
Given fractions are 7086/107,1948/418
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 7086/107,1948/418, numerators are 7086,1948
Denominators are 107,418
The GCF of 7086,1948 is 2 .
LCM of 107,418 is 44726.
The greatest common factor of 7086/107,1948/418 = [GCF of 7086,1948]/[LCM of 107,418]= 2/44726
Therefore, the GCF of 7086/107,1948/418 is 2/44726.
To find the highest common factor of 7086,1948, we have to find the factors of both numbers and list the highest common factor.
The factors of 7086 are 1, 2, 3, 6, 1181, 2362, 3543, 7086
The factors of 1948 are 1, 2, 4, 487, 974, 1948
The HCF of 7086,1948 is 2.
Lets's calculate GCF of 7086,1948
| 2 | 7086, 1948 |
| 3543, 974 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7086,1948 By Matching Biggest Common Factor Method
Now, list down the factors of 7086
:1,2,3,6,1181,2362,3543,7086
Now, list down the factors of 1948
:1,2,4,487,974,1948
Greatest Common Factor
We found the factors 7086,1948 . The biggest common factor number is the GCF number.
So the greatest common factor 7086,1948 is 2.
Lets's calculate LCM of 107,418
Given numbers has no common factors except 1. So, there LCM is their product i.e 44726
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/44726
Therefore, the GCF of Fractions 7086/107,1948/418 is 2/44726
Least Common Multiple of 107,418 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 107,418 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(107,418) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(107,418) x common factors =1 x 1 = 1
LCM(107,418) = ( 107 × 418 ) / 1
LCM(107,418) = 44726 / 1
LCM(107,418) = 44726
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FAQs on GCF of Fractions of 7086/107, 1948/418
1. What is the HCF of 7086,1948?
The HCF of 7086,1948 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 7086/107, 1948/418?
Answer: GCF of Numerators as per given numbers 7086/107, 1948/418 is
GCF of Numerators i.e. for 7086,1948 is 2
LCM of denominators i.e. for 107,418 is 44726.
Thus, GCF of Fractions is 2/44726.Finally, GCF of Fractions for 7086/107, 1948/418 is 2/44726.