GCF of 1972/513, 6166/7359
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1972/513, 6166/7359 i.e 2/1258389 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1972/513, 6166/7359.
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 1972/513,6166/7359?
Given fractions are 1972/513,6166/7359
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 1972/513,6166/7359, numerators are 1972,6166
Denominators are 513,7359
The GCF of 1972,6166 is 2 .
LCM of 513,7359 is 1258389.
The greatest common factor of 1972/513,6166/7359 = [GCF of 1972,6166]/[LCM of 513,7359]= 2/1258389
Therefore, the GCF of 1972/513,6166/7359 is 2/1258389.
To find the highest common factor of 1972,6166, we have to find the factors of both numbers and list the highest common factor.
The factors of 1972 are 1, 2, 4, 17, 29, 34, 58, 68, 116, 493, 986, 1972
The factors of 6166 are 1, 2, 3083, 6166
The HCF of 1972,6166 is 2.
Lets's calculate GCF of 1972,6166
| 2 | 1972, 6166 |
| 986, 3083 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1972,6166 By Matching Biggest Common Factor Method
Now, list down the factors of 1972
:1,2,4,17,29,34,58,68,116,493,986,1972
Now, list down the factors of 6166
:1,2,3083,6166
Greatest Common Factor
We found the factors 1972,6166 . The biggest common factor number is the GCF number.
So the greatest common factor 1972,6166 is 2.
Lets's calculate LCM of 513,7359
| 3 | 513, 7359 |
| 171, 2453 |
∴ So the LCM of the given numbers is 3 x 171 x 2453 = 1258389
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1258389
Therefore, the GCF of Fractions 1972/513,6166/7359 is 2/1258389
Least Common Multiple of 513,7359 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 513,7359 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(513,7359) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(513,7359) x common factors =3 x 1 = 3
LCM(513,7359) = ( 513 × 7359 ) / 3
LCM(513,7359) = 3775167 / 3
LCM(513,7359) = 1258389
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FAQs on GCF of Fractions of 1972/513, 6166/7359
1. What is the HCF of 1972,6166?
The HCF of 1972,6166 is 2
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 1972/513, 6166/7359?
Answer: GCF of Numerators as per given numbers 1972/513, 6166/7359 is
GCF of Numerators i.e. for 1972,6166 is 2
LCM of denominators i.e. for 513,7359 is 1258389.
Thus, GCF of Fractions is 2/1258389.Finally, GCF of Fractions for 1972/513, 6166/7359 is 2/1258389.