GCF of 7779/464, 9590/3179
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7779/464, 9590/3179 i.e 1/1475056 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7779/464, 9590/3179.
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 7779/464,9590/3179?
Given fractions are 7779/464,9590/3179
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 7779/464,9590/3179, numerators are 7779,9590
Denominators are 464,3179
The GCF of 7779,9590 is 1 .
LCM of 464,3179 is 1475056.
The greatest common factor of 7779/464,9590/3179 = [GCF of 7779,9590]/[LCM of 464,3179]= 1/1475056
Therefore, the GCF of 7779/464,9590/3179 is 1/1475056.
To find the highest common factor of 7779,9590, we have to find the factors of both numbers and list the highest common factor.
The factors of 7779 are 1, 3, 2593, 7779
The factors of 9590 are 1, 2, 5, 7, 10, 14, 35, 70, 137, 274, 685, 959, 1370, 1918, 4795, 9590
The HCF of 7779,9590 is 1.
Lets's calculate GCF of 7779,9590
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7779,9590 By Matching Biggest Common Factor Method
Now, list down the factors of 7779
:1,3,2593,7779
Now, list down the factors of 9590
:1,2,5,7,10,14,35,70,137,274,685,959,1370,1918,4795,9590
Greatest Common Factor
We found the factors 7779,9590 . The biggest common factor number is the GCF number.
So the greatest common factor 7779,9590 is 1.
Lets's calculate LCM of 464,3179
Given numbers has no common factors except 1. So, there LCM is their product i.e 1475056
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1475056
Therefore, the GCF of Fractions 7779/464,9590/3179 is 1/1475056
Least Common Multiple of 464,3179 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 464,3179 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(464,3179) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(464,3179) x common factors =1 x 1 = 1
LCM(464,3179) = ( 464 × 3179 ) / 1
LCM(464,3179) = 1475056 / 1
LCM(464,3179) = 1475056
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FAQs on GCF of Fractions of 7779/464, 9590/3179
1. What is the HCF of 7779,9590?
The HCF of 7779,9590 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 7779/464, 9590/3179?
Answer: GCF of Numerators as per given numbers 7779/464, 9590/3179 is
GCF of Numerators i.e. for 7779,9590 is 1
LCM of denominators i.e. for 464,3179 is 1475056.
Thus, GCF of Fractions is 1/1475056.Finally, GCF of Fractions for 7779/464, 9590/3179 is 1/1475056.