GCF of 1090/214, 5810/7771
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1090/214, 5810/7771 i.e 10/1662994 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1090/214, 5810/7771.
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 1090/214,5810/7771?
Given fractions are 1090/214,5810/7771
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 1090/214,5810/7771, numerators are 1090,5810
Denominators are 214,7771
The GCF of 1090,5810 is 10 .
LCM of 214,7771 is 1662994.
The greatest common factor of 1090/214,5810/7771 = [GCF of 1090,5810]/[LCM of 214,7771]= 10/1662994
Therefore, the GCF of 1090/214,5810/7771 is 10/1662994.
To find the highest common factor of 1090,5810, we have to find the factors of both numbers and list the highest common factor.
The factors of 1090 are 1, 2, 5, 10, 109, 218, 545, 1090
The factors of 5810 are 1, 2, 5, 7, 10, 14, 35, 70, 83, 166, 415, 581, 830, 1162, 2905, 5810
The HCF of 1090,5810 is 10.
Lets's calculate GCF of 1090,5810
| 2 | 1090, 5810 |
| 5 | 545, 2905 |
| 109, 581 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 1090,5810 By Matching Biggest Common Factor Method
Now, list down the factors of 1090
:1,2,5,10,109,218,545,1090
Now, list down the factors of 5810
:1,2,5,7,10,14,35,70,83,166,415,581,830,1162,2905,5810
Greatest Common Factor
We found the factors 1090,5810 . The biggest common factor number is the GCF number.
So the greatest common factor 1090,5810 is 10.
Lets's calculate LCM of 214,7771
Given numbers has no common factors except 1. So, there LCM is their product i.e 1662994
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/1662994
Therefore, the GCF of Fractions 1090/214,5810/7771 is 10/1662994
Least Common Multiple of 214,7771 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 214,7771 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(214,7771) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(214,7771) x common factors =1 x 1 = 1
LCM(214,7771) = ( 214 × 7771 ) / 1
LCM(214,7771) = 1662994 / 1
LCM(214,7771) = 1662994
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FAQs on GCF of Fractions of 1090/214, 5810/7771
1. What is the HCF of 1090,5810?
The HCF of 1090,5810 is 10
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 1090/214, 5810/7771?
Answer: GCF of Numerators as per given numbers 1090/214, 5810/7771 is
GCF of Numerators i.e. for 1090,5810 is 10
LCM of denominators i.e. for 214,7771 is 1662994.
Thus, GCF of Fractions is 10/1662994.Finally, GCF of Fractions for 1090/214, 5810/7771 is 10/1662994.