GCF of 2514/598, 7049/6523
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2514/598, 7049/6523 i.e 1/3900754 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2514/598, 7049/6523.
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 2514/598,7049/6523?
Given fractions are 2514/598,7049/6523
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 2514/598,7049/6523, numerators are 2514,7049
Denominators are 598,6523
The GCF of 2514,7049 is 1 .
LCM of 598,6523 is 3900754.
The greatest common factor of 2514/598,7049/6523 = [GCF of 2514,7049]/[LCM of 598,6523]= 1/3900754
Therefore, the GCF of 2514/598,7049/6523 is 1/3900754.
To find the highest common factor of 2514,7049, we have to find the factors of both numbers and list the highest common factor.
The factors of 2514 are 1, 2, 3, 6, 419, 838, 1257, 2514
The factors of 7049 are 1, 7, 19, 53, 133, 371, 1007, 7049
The HCF of 2514,7049 is 1.
Lets's calculate GCF of 2514,7049
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2514,7049 By Matching Biggest Common Factor Method
Now, list down the factors of 2514
:1,2,3,6,419,838,1257,2514
Now, list down the factors of 7049
:1,7,19,53,133,371,1007,7049
Greatest Common Factor
We found the factors 2514,7049 . The biggest common factor number is the GCF number.
So the greatest common factor 2514,7049 is 1.
Lets's calculate LCM of 598,6523
Given numbers has no common factors except 1. So, there LCM is their product i.e 3900754
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3900754
Therefore, the GCF of Fractions 2514/598,7049/6523 is 1/3900754
Least Common Multiple of 598,6523 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 598,6523 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(598,6523) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(598,6523) x common factors =1 x 1 = 1
LCM(598,6523) = ( 598 × 6523 ) / 1
LCM(598,6523) = 3900754 / 1
LCM(598,6523) = 3900754
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2514/598, 7049/6523
1. What is the HCF of 2514,7049?
The HCF of 2514,7049 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 2514/598, 7049/6523?
Answer: GCF of Numerators as per given numbers 2514/598, 7049/6523 is
GCF of Numerators i.e. for 2514,7049 is 1
LCM of denominators i.e. for 598,6523 is 3900754.
Thus, GCF of Fractions is 1/3900754.Finally, GCF of Fractions for 2514/598, 7049/6523 is 1/3900754.