GCF of 7759/793, 8420/9985
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7759/793, 8420/9985 i.e 1/7918105 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7759/793, 8420/9985.
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 7759/793,8420/9985?
Given fractions are 7759/793,8420/9985
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 7759/793,8420/9985, numerators are 7759,8420
Denominators are 793,9985
The GCF of 7759,8420 is 1 .
LCM of 793,9985 is 7918105.
The greatest common factor of 7759/793,8420/9985 = [GCF of 7759,8420]/[LCM of 793,9985]= 1/7918105
Therefore, the GCF of 7759/793,8420/9985 is 1/7918105.
To find the highest common factor of 7759,8420, we have to find the factors of both numbers and list the highest common factor.
The factors of 7759 are 1, 7759
The factors of 8420 are 1, 2, 4, 5, 10, 20, 421, 842, 1684, 2105, 4210, 8420
The HCF of 7759,8420 is 1.
Lets's calculate GCF of 7759,8420
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7759,8420 By Matching Biggest Common Factor Method
Now, list down the factors of 7759
:1,7759
Now, list down the factors of 8420
:1,2,4,5,10,20,421,842,1684,2105,4210,8420
Greatest Common Factor
We found the factors 7759,8420 . The biggest common factor number is the GCF number.
So the greatest common factor 7759,8420 is 1.
Lets's calculate LCM of 793,9985
Given numbers has no common factors except 1. So, there LCM is their product i.e 7918105
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7918105
Therefore, the GCF of Fractions 7759/793,8420/9985 is 1/7918105
Least Common Multiple of 793,9985 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 793,9985 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(793,9985) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(793,9985) x common factors =1 x 1 = 1
LCM(793,9985) = ( 793 × 9985 ) / 1
LCM(793,9985) = 7918105 / 1
LCM(793,9985) = 7918105
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FAQs on GCF of Fractions of 7759/793, 8420/9985
1. What is the HCF of 7759,8420?
The HCF of 7759,8420 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 7759/793, 8420/9985?
Answer: GCF of Numerators as per given numbers 7759/793, 8420/9985 is
GCF of Numerators i.e. for 7759,8420 is 1
LCM of denominators i.e. for 793,9985 is 7918105.
Thus, GCF of Fractions is 1/7918105.Finally, GCF of Fractions for 7759/793, 8420/9985 is 1/7918105.