GCF of 3077/725, 5681/7246
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3077/725, 5681/7246 i.e 1/5253350 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3077/725, 5681/7246.
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 3077/725,5681/7246?
Given fractions are 3077/725,5681/7246
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 3077/725,5681/7246, numerators are 3077,5681
Denominators are 725,7246
The GCF of 3077,5681 is 1 .
LCM of 725,7246 is 5253350.
The greatest common factor of 3077/725,5681/7246 = [GCF of 3077,5681]/[LCM of 725,7246]= 1/5253350
Therefore, the GCF of 3077/725,5681/7246 is 1/5253350.
To find the highest common factor of 3077,5681, we have to find the factors of both numbers and list the highest common factor.
The factors of 3077 are 1, 17, 181, 3077
The factors of 5681 are 1, 13, 19, 23, 247, 299, 437, 5681
The HCF of 3077,5681 is 1.
Lets's calculate GCF of 3077,5681
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3077,5681 By Matching Biggest Common Factor Method
Now, list down the factors of 3077
:1,17,181,3077
Now, list down the factors of 5681
:1,13,19,23,247,299,437,5681
Greatest Common Factor
We found the factors 3077,5681 . The biggest common factor number is the GCF number.
So the greatest common factor 3077,5681 is 1.
Lets's calculate LCM of 725,7246
Given numbers has no common factors except 1. So, there LCM is their product i.e 5253350
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5253350
Therefore, the GCF of Fractions 3077/725,5681/7246 is 1/5253350
Least Common Multiple of 725,7246 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 725,7246 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(725,7246) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(725,7246) x common factors =1 x 1 = 1
LCM(725,7246) = ( 725 × 7246 ) / 1
LCM(725,7246) = 5253350 / 1
LCM(725,7246) = 5253350
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3077/725, 5681/7246
1. What is the HCF of 3077,5681?
The HCF of 3077,5681 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 3077/725, 5681/7246?
Answer: GCF of Numerators as per given numbers 3077/725, 5681/7246 is
GCF of Numerators i.e. for 3077,5681 is 1
LCM of denominators i.e. for 725,7246 is 5253350.
Thus, GCF of Fractions is 1/5253350.Finally, GCF of Fractions for 3077/725, 5681/7246 is 1/5253350.