GCF of 139/213, 409/810, 531/101
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 139/213, 409/810, 531/101 i.e 1/5808510 easily. The following is the detailed procedure to determine the greatest common factor of fractions 139/213, 409/810, 531/101.
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 139/213,409/810,531/101?
Given fractions are 139/213,409/810,531/101
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 139/213,409/810,531/101, numerators are 139,409,531
Denominators are 213,810,101
The GCF of 139,409,531 is 1 .
LCM of 213,810,101 is 5808510.
The greatest common factor of 139/213,409/810,531/101 = [GCF of 139,409,531]/[LCM of 213,810,101]= 1/5808510
Therefore, the GCF of 139/213,409/810,531/101 is 1/5808510.
To find the highest common factor of 139,409,531, we have to find the factors of both numbers and list the highest common factor.
The factors of 139 are 1, 139
The factors of 409 are 1, 409
The factors of 531 are 1, 3, 9, 59, 177, 531
The HCF of 139,409,531 is 1.
Lets's calculate GCF of 139,409,531
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 139,409,531 By Matching Biggest Common Factor Method
Now, list down the factors of 139
:1,139
Now, list down the factors of 409
:1,409
Now, list down the factors of 531
:1,3,9,59,177,531
Greatest Common Factor
We found the factors 139,409,531 . The biggest common factor number is the GCF number.
So the greatest common factor 139,409,531 is 1.
Lets's calculate LCM of 213,810,101
| 3 | 213, 810, 101 |
| 71, 270, 101 |
∴ So the LCM of the given numbers is 3 x 71 x 270 x 101 = 5808510
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5808510
Therefore, the GCF of Fractions 139/213,409/810,531/101 is 1/5808510
Least Common Multiple of 213,810,101 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 213,810,101 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(213,810,101) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(213,810,101) x common factors =1 x 3 = 3
LCM(213,810,101) = ( 213 × 810 × 101 ) / 3
LCM(213,810,101) = 17425530 / 3
LCM(213,810,101) = 5808510
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FAQs on GCF of Fractions of 139/213, 409/810, 531/101
1. What is the HCF of 139,409,531?
The HCF of 139,409,531 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 139/213, 409/810, 531/101?
Answer: GCF of Numerators as per given numbers 139/213, 409/810, 531/101 is
GCF of Numerators i.e. for 139,409,531 is 1
LCM of denominators i.e. for 213,810,101 is 5808510.
Thus, GCF of Fractions is 1/5808510.Finally, GCF of Fractions for 139/213, 409/810, 531/101 is 1/5808510.