GCF of 3559/265, 6979/4806
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3559/265, 6979/4806 i.e 1/1273590 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3559/265, 6979/4806.
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 3559/265,6979/4806?
Given fractions are 3559/265,6979/4806
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 3559/265,6979/4806, numerators are 3559,6979
Denominators are 265,4806
The GCF of 3559,6979 is 1 .
LCM of 265,4806 is 1273590.
The greatest common factor of 3559/265,6979/4806 = [GCF of 3559,6979]/[LCM of 265,4806]= 1/1273590
Therefore, the GCF of 3559/265,6979/4806 is 1/1273590.
To find the highest common factor of 3559,6979, we have to find the factors of both numbers and list the highest common factor.
The factors of 3559 are 1, 3559
The factors of 6979 are 1, 7, 997, 6979
The HCF of 3559,6979 is 1.
Lets's calculate GCF of 3559,6979
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3559,6979 By Matching Biggest Common Factor Method
Now, list down the factors of 3559
:1,3559
Now, list down the factors of 6979
:1,7,997,6979
Greatest Common Factor
We found the factors 3559,6979 . The biggest common factor number is the GCF number.
So the greatest common factor 3559,6979 is 1.
Lets's calculate LCM of 265,4806
Given numbers has no common factors except 1. So, there LCM is their product i.e 1273590
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1273590
Therefore, the GCF of Fractions 3559/265,6979/4806 is 1/1273590
Least Common Multiple of 265,4806 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 265,4806 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(265,4806) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(265,4806) x common factors =1 x 1 = 1
LCM(265,4806) = ( 265 × 4806 ) / 1
LCM(265,4806) = 1273590 / 1
LCM(265,4806) = 1273590
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FAQs on GCF of Fractions of 3559/265, 6979/4806
1. What is the HCF of 3559,6979?
The HCF of 3559,6979 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 3559/265, 6979/4806?
Answer: GCF of Numerators as per given numbers 3559/265, 6979/4806 is
GCF of Numerators i.e. for 3559,6979 is 1
LCM of denominators i.e. for 265,4806 is 1273590.
Thus, GCF of Fractions is 1/1273590.Finally, GCF of Fractions for 3559/265, 6979/4806 is 1/1273590.