GCF of 1565/688, 9978/6689
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1565/688, 9978/6689 i.e 1/4602032 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1565/688, 9978/6689.
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 1565/688,9978/6689?
Given fractions are 1565/688,9978/6689
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 1565/688,9978/6689, numerators are 1565,9978
Denominators are 688,6689
The GCF of 1565,9978 is 1 .
LCM of 688,6689 is 4602032.
The greatest common factor of 1565/688,9978/6689 = [GCF of 1565,9978]/[LCM of 688,6689]= 1/4602032
Therefore, the GCF of 1565/688,9978/6689 is 1/4602032.
To find the highest common factor of 1565,9978, we have to find the factors of both numbers and list the highest common factor.
The factors of 1565 are 1, 5, 313, 1565
The factors of 9978 are 1, 2, 3, 6, 1663, 3326, 4989, 9978
The HCF of 1565,9978 is 1.
Lets's calculate GCF of 1565,9978
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1565,9978 By Matching Biggest Common Factor Method
Now, list down the factors of 1565
:1,5,313,1565
Now, list down the factors of 9978
:1,2,3,6,1663,3326,4989,9978
Greatest Common Factor
We found the factors 1565,9978 . The biggest common factor number is the GCF number.
So the greatest common factor 1565,9978 is 1.
Lets's calculate LCM of 688,6689
Given numbers has no common factors except 1. So, there LCM is their product i.e 4602032
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4602032
Therefore, the GCF of Fractions 1565/688,9978/6689 is 1/4602032
Least Common Multiple of 688,6689 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 688,6689 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(688,6689) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(688,6689) x common factors =1 x 1 = 1
LCM(688,6689) = ( 688 × 6689 ) / 1
LCM(688,6689) = 4602032 / 1
LCM(688,6689) = 4602032
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FAQs on GCF of Fractions of 1565/688, 9978/6689
1. What is the HCF of 1565,9978?
The HCF of 1565,9978 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 1565/688, 9978/6689?
Answer: GCF of Numerators as per given numbers 1565/688, 9978/6689 is
GCF of Numerators i.e. for 1565,9978 is 1
LCM of denominators i.e. for 688,6689 is 4602032.
Thus, GCF of Fractions is 1/4602032.Finally, GCF of Fractions for 1565/688, 9978/6689 is 1/4602032.