Use our free GCF of Fractions Calculator tool to compute the GCF of 3091/890, 2924/7022 i.e 1/3124790 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3091/890, 2924/7022.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3091/890,2924/7022
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 3091/890,2924/7022, numerators are 3091,2924
Denominators are 890,7022
The GCF of 3091,2924 is 1 .
LCM of 890,7022 is 3124790.
The greatest common factor of 3091/890,2924/7022 = [GCF of 3091,2924]/[LCM of 890,7022]= 1/3124790
Therefore, the GCF of 3091/890,2924/7022 is 1/3124790.
To find the highest common factor of 3091,2924, we have to find the factors of both numbers and list the highest common factor.
The factors of 3091 are 1, 11, 281, 3091
The factors of 2924 are 1, 2, 4, 17, 34, 43, 68, 86, 172, 731, 1462, 2924
The HCF of 3091,2924 is 1.
Lets's calculate GCF of 3091,2924
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 3091
:1,11,281,3091
Now, list down the factors of 2924
:1,2,4,17,34,43,68,86,172,731,1462,2924
Greatest Common Factor
We found the factors 3091,2924 . The biggest common factor number is the GCF number.
So the greatest common factor 3091,2924 is 1.
Lets's calculate LCM of 890,7022
2 | 890, 7022 |
445, 3511 |
∴ So the LCM of the given numbers is 2 x 445 x 3511 = 3124790
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3124790
Therefore, the GCF of Fractions 3091/890,2924/7022 is 1/3124790
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 890,7022 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(890,7022) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(890,7022) x common factors =2 x 1 = 2
LCM(890,7022) = ( 890 × 7022 ) / 2
LCM(890,7022) = 6249580 / 2
LCM(890,7022) = 3124790
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 3091,2924?
The HCF of 3091,2924 is 1
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 3091/890, 2924/7022?
Answer: GCF of Numerators as per given numbers 3091/890, 2924/7022 is
GCF of Numerators i.e. for 3091,2924 is 1
LCM of denominators i.e. for 890,7022 is 3124790.
Thus, GCF of Fractions is 1/3124790.Finally, GCF of Fractions for 3091/890, 2924/7022 is 1/3124790.