GCF of 1778/586, 9031/7990
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1778/586, 9031/7990 i.e 1/2341070 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1778/586, 9031/7990.
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 1778/586,9031/7990?
Given fractions are 1778/586,9031/7990
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 1778/586,9031/7990, numerators are 1778,9031
Denominators are 586,7990
The GCF of 1778,9031 is 1 .
LCM of 586,7990 is 2341070.
The greatest common factor of 1778/586,9031/7990 = [GCF of 1778,9031]/[LCM of 586,7990]= 1/2341070
Therefore, the GCF of 1778/586,9031/7990 is 1/2341070.
To find the highest common factor of 1778,9031, we have to find the factors of both numbers and list the highest common factor.
The factors of 1778 are 1, 2, 7, 14, 127, 254, 889, 1778
The factors of 9031 are 1, 11, 821, 9031
The HCF of 1778,9031 is 1.
Lets's calculate GCF of 1778,9031
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1778,9031 By Matching Biggest Common Factor Method
Now, list down the factors of 1778
:1,2,7,14,127,254,889,1778
Now, list down the factors of 9031
:1,11,821,9031
Greatest Common Factor
We found the factors 1778,9031 . The biggest common factor number is the GCF number.
So the greatest common factor 1778,9031 is 1.
Lets's calculate LCM of 586,7990
| 2 | 586, 7990 |
| 293, 3995 |
∴ So the LCM of the given numbers is 2 x 293 x 3995 = 2341070
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2341070
Therefore, the GCF of Fractions 1778/586,9031/7990 is 1/2341070
Least Common Multiple of 586,7990 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 586,7990 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(586,7990) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(586,7990) x common factors =2 x 1 = 2
LCM(586,7990) = ( 586 × 7990 ) / 2
LCM(586,7990) = 4682140 / 2
LCM(586,7990) = 2341070
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FAQs on GCF of Fractions of 1778/586, 9031/7990
1. What is the HCF of 1778,9031?
The HCF of 1778,9031 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 1778/586, 9031/7990?
Answer: GCF of Numerators as per given numbers 1778/586, 9031/7990 is
GCF of Numerators i.e. for 1778,9031 is 1
LCM of denominators i.e. for 586,7990 is 2341070.
Thus, GCF of Fractions is 1/2341070.Finally, GCF of Fractions for 1778/586, 9031/7990 is 1/2341070.