GCF of 5690/835, 5979/2692
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5690/835, 5979/2692 i.e 1/2247820 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5690/835, 5979/2692.
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 5690/835,5979/2692?
Given fractions are 5690/835,5979/2692
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 5690/835,5979/2692, numerators are 5690,5979
Denominators are 835,2692
The GCF of 5690,5979 is 1 .
LCM of 835,2692 is 2247820.
The greatest common factor of 5690/835,5979/2692 = [GCF of 5690,5979]/[LCM of 835,2692]= 1/2247820
Therefore, the GCF of 5690/835,5979/2692 is 1/2247820.
To find the highest common factor of 5690,5979, we have to find the factors of both numbers and list the highest common factor.
The factors of 5690 are 1, 2, 5, 10, 569, 1138, 2845, 5690
The factors of 5979 are 1, 3, 1993, 5979
The HCF of 5690,5979 is 1.
Lets's calculate GCF of 5690,5979
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5690,5979 By Matching Biggest Common Factor Method
Now, list down the factors of 5690
:1,2,5,10,569,1138,2845,5690
Now, list down the factors of 5979
:1,3,1993,5979
Greatest Common Factor
We found the factors 5690,5979 . The biggest common factor number is the GCF number.
So the greatest common factor 5690,5979 is 1.
Lets's calculate LCM of 835,2692
Given numbers has no common factors except 1. So, there LCM is their product i.e 2247820
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2247820
Therefore, the GCF of Fractions 5690/835,5979/2692 is 1/2247820
Least Common Multiple of 835,2692 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 835,2692 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(835,2692) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(835,2692) x common factors =1 x 1 = 1
LCM(835,2692) = ( 835 × 2692 ) / 1
LCM(835,2692) = 2247820 / 1
LCM(835,2692) = 2247820
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FAQs on GCF of Fractions of 5690/835, 5979/2692
1. What is the HCF of 5690,5979?
The HCF of 5690,5979 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 5690/835, 5979/2692?
Answer: GCF of Numerators as per given numbers 5690/835, 5979/2692 is
GCF of Numerators i.e. for 5690,5979 is 1
LCM of denominators i.e. for 835,2692 is 2247820.
Thus, GCF of Fractions is 1/2247820.Finally, GCF of Fractions for 5690/835, 5979/2692 is 1/2247820.