GCF of 3129/513, 5314/5494
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3129/513, 5314/5494 i.e 1/2818422 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3129/513, 5314/5494.
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 3129/513,5314/5494?
Given fractions are 3129/513,5314/5494
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 3129/513,5314/5494, numerators are 3129,5314
Denominators are 513,5494
The GCF of 3129,5314 is 1 .
LCM of 513,5494 is 2818422.
The greatest common factor of 3129/513,5314/5494 = [GCF of 3129,5314]/[LCM of 513,5494]= 1/2818422
Therefore, the GCF of 3129/513,5314/5494 is 1/2818422.
To find the highest common factor of 3129,5314, we have to find the factors of both numbers and list the highest common factor.
The factors of 3129 are 1, 3, 7, 21, 149, 447, 1043, 3129
The factors of 5314 are 1, 2, 2657, 5314
The HCF of 3129,5314 is 1.
Lets's calculate GCF of 3129,5314
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3129,5314 By Matching Biggest Common Factor Method
Now, list down the factors of 3129
:1,3,7,21,149,447,1043,3129
Now, list down the factors of 5314
:1,2,2657,5314
Greatest Common Factor
We found the factors 3129,5314 . The biggest common factor number is the GCF number.
So the greatest common factor 3129,5314 is 1.
Lets's calculate LCM of 513,5494
Given numbers has no common factors except 1. So, there LCM is their product i.e 2818422
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2818422
Therefore, the GCF of Fractions 3129/513,5314/5494 is 1/2818422
Least Common Multiple of 513,5494 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 513,5494 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(513,5494) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(513,5494) x common factors =1 x 1 = 1
LCM(513,5494) = ( 513 × 5494 ) / 1
LCM(513,5494) = 2818422 / 1
LCM(513,5494) = 2818422
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FAQs on GCF of Fractions of 3129/513, 5314/5494
1. What is the HCF of 3129,5314?
The HCF of 3129,5314 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 3129/513, 5314/5494?
Answer: GCF of Numerators as per given numbers 3129/513, 5314/5494 is
GCF of Numerators i.e. for 3129,5314 is 1
LCM of denominators i.e. for 513,5494 is 2818422.
Thus, GCF of Fractions is 1/2818422.Finally, GCF of Fractions for 3129/513, 5314/5494 is 1/2818422.