GCF of 6020/116, 1269/8334
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6020/116, 1269/8334 i.e 1/483372 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6020/116, 1269/8334.
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 6020/116,1269/8334?
Given fractions are 6020/116,1269/8334
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 6020/116,1269/8334, numerators are 6020,1269
Denominators are 116,8334
The GCF of 6020,1269 is 1 .
LCM of 116,8334 is 483372.
The greatest common factor of 6020/116,1269/8334 = [GCF of 6020,1269]/[LCM of 116,8334]= 1/483372
Therefore, the GCF of 6020/116,1269/8334 is 1/483372.
To find the highest common factor of 6020,1269, we have to find the factors of both numbers and list the highest common factor.
The factors of 6020 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 43, 70, 86, 140, 172, 215, 301, 430, 602, 860, 1204, 1505, 3010, 6020
The factors of 1269 are 1, 3, 9, 27, 47, 141, 423, 1269
The HCF of 6020,1269 is 1.
Lets's calculate GCF of 6020,1269
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6020,1269 By Matching Biggest Common Factor Method
Now, list down the factors of 6020
:1,2,4,5,7,10,14,20,28,35,43,70,86,140,172,215,301,430,602,860,1204,1505,3010,6020
Now, list down the factors of 1269
:1,3,9,27,47,141,423,1269
Greatest Common Factor
We found the factors 6020,1269 . The biggest common factor number is the GCF number.
So the greatest common factor 6020,1269 is 1.
Lets's calculate LCM of 116,8334
| 2 | 116, 8334 |
| 58, 4167 |
∴ So the LCM of the given numbers is 2 x 58 x 4167 = 483372
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/483372
Therefore, the GCF of Fractions 6020/116,1269/8334 is 1/483372
Least Common Multiple of 116,8334 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 116,8334 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(116,8334) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(116,8334) x common factors =2 x 1 = 2
LCM(116,8334) = ( 116 × 8334 ) / 2
LCM(116,8334) = 966744 / 2
LCM(116,8334) = 483372
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FAQs on GCF of Fractions of 6020/116, 1269/8334
1. What is the HCF of 6020,1269?
The HCF of 6020,1269 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 6020/116, 1269/8334?
Answer: GCF of Numerators as per given numbers 6020/116, 1269/8334 is
GCF of Numerators i.e. for 6020,1269 is 1
LCM of denominators i.e. for 116,8334 is 483372.
Thus, GCF of Fractions is 1/483372.Finally, GCF of Fractions for 6020/116, 1269/8334 is 1/483372.