GCF of 5350/809, 1102/9789
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5350/809, 1102/9789 i.e 2/7919301 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5350/809, 1102/9789.
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 5350/809,1102/9789?
Given fractions are 5350/809,1102/9789
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 5350/809,1102/9789, numerators are 5350,1102
Denominators are 809,9789
The GCF of 5350,1102 is 2 .
LCM of 809,9789 is 7919301.
The greatest common factor of 5350/809,1102/9789 = [GCF of 5350,1102]/[LCM of 809,9789]= 2/7919301
Therefore, the GCF of 5350/809,1102/9789 is 2/7919301.
To find the highest common factor of 5350,1102, we have to find the factors of both numbers and list the highest common factor.
The factors of 5350 are 1, 2, 5, 10, 25, 50, 107, 214, 535, 1070, 2675, 5350
The factors of 1102 are 1, 2, 19, 29, 38, 58, 551, 1102
The HCF of 5350,1102 is 2.
Lets's calculate GCF of 5350,1102
| 2 | 5350, 1102 |
| 2675, 551 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5350,1102 By Matching Biggest Common Factor Method
Now, list down the factors of 5350
:1,2,5,10,25,50,107,214,535,1070,2675,5350
Now, list down the factors of 1102
:1,2,19,29,38,58,551,1102
Greatest Common Factor
We found the factors 5350,1102 . The biggest common factor number is the GCF number.
So the greatest common factor 5350,1102 is 2.
Lets's calculate LCM of 809,9789
Given numbers has no common factors except 1. So, there LCM is their product i.e 7919301
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7919301
Therefore, the GCF of Fractions 5350/809,1102/9789 is 2/7919301
Least Common Multiple of 809,9789 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 809,9789 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(809,9789) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(809,9789) x common factors =1 x 1 = 1
LCM(809,9789) = ( 809 × 9789 ) / 1
LCM(809,9789) = 7919301 / 1
LCM(809,9789) = 7919301
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FAQs on GCF of Fractions of 5350/809, 1102/9789
1. What is the HCF of 5350,1102?
The HCF of 5350,1102 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 5350/809, 1102/9789?
Answer: GCF of Numerators as per given numbers 5350/809, 1102/9789 is
GCF of Numerators i.e. for 5350,1102 is 2
LCM of denominators i.e. for 809,9789 is 7919301.
Thus, GCF of Fractions is 2/7919301.Finally, GCF of Fractions for 5350/809, 1102/9789 is 2/7919301.