GCF of 3514/685, 5021/955
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3514/685, 5021/955 i.e 1/130835 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3514/685, 5021/955.
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 3514/685,5021/955?
Given fractions are 3514/685,5021/955
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 3514/685,5021/955, numerators are 3514,5021
Denominators are 685,955
The GCF of 3514,5021 is 1 .
LCM of 685,955 is 130835.
The greatest common factor of 3514/685,5021/955 = [GCF of 3514,5021]/[LCM of 685,955]= 1/130835
Therefore, the GCF of 3514/685,5021/955 is 1/130835.
To find the highest common factor of 3514,5021, we have to find the factors of both numbers and list the highest common factor.
The factors of 3514 are 1, 2, 7, 14, 251, 502, 1757, 3514
The factors of 5021 are 1, 5021
The HCF of 3514,5021 is 1.
Lets's calculate GCF of 3514,5021
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3514,5021 By Matching Biggest Common Factor Method
Now, list down the factors of 3514
:1,2,7,14,251,502,1757,3514
Now, list down the factors of 5021
:1,5021
Greatest Common Factor
We found the factors 3514,5021 . The biggest common factor number is the GCF number.
So the greatest common factor 3514,5021 is 1.
Lets's calculate LCM of 685,955
| 5 | 685, 955 |
| 137, 191 |
∴ So the LCM of the given numbers is 5 x 137 x 191 = 130835
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/130835
Therefore, the GCF of Fractions 3514/685,5021/955 is 1/130835
Least Common Multiple of 685,955 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 685,955 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(685,955) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(685,955) x common factors =5 x 1 = 5
LCM(685,955) = ( 685 × 955 ) / 5
LCM(685,955) = 654175 / 5
LCM(685,955) = 130835
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3514/685, 5021/955
1. What is the HCF of 3514,5021?
The HCF of 3514,5021 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 3514/685, 5021/955?
Answer: GCF of Numerators as per given numbers 3514/685, 5021/955 is
GCF of Numerators i.e. for 3514,5021 is 1
LCM of denominators i.e. for 685,955 is 130835.
Thus, GCF of Fractions is 1/130835.Finally, GCF of Fractions for 3514/685, 5021/955 is 1/130835.