GCF of 890/702, 143/642, 851/548
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 890/702, 143/642, 851/548 i.e 1/20581236 easily. The following is the detailed procedure to determine the greatest common factor of fractions 890/702, 143/642, 851/548.
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 890/702,143/642,851/548?
Given fractions are 890/702,143/642,851/548
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 890/702,143/642,851/548, numerators are 890,143,851
Denominators are 702,642,548
The GCF of 890,143,851 is 1 .
LCM of 702,642,548 is 20581236.
The greatest common factor of 890/702,143/642,851/548 = [GCF of 890,143,851]/[LCM of 702,642,548]= 1/20581236
Therefore, the GCF of 890/702,143/642,851/548 is 1/20581236.
To find the highest common factor of 890,143,851, we have to find the factors of both numbers and list the highest common factor.
The factors of 890 are 1, 2, 5, 10, 89, 178, 445, 890
The factors of 143 are 1, 11, 13, 143
The factors of 851 are 1, 23, 37, 851
The HCF of 890,143,851 is 1.
Lets's calculate GCF of 890,143,851
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 890,143,851 By Matching Biggest Common Factor Method
Now, list down the factors of 890
:1,2,5,10,89,178,445,890
Now, list down the factors of 143
:1,11,13,143
Now, list down the factors of 851
:1,23,37,851
Greatest Common Factor
We found the factors 890,143,851 . The biggest common factor number is the GCF number.
So the greatest common factor 890,143,851 is 1.
Lets's calculate LCM of 702,642,548
| 2 | 702, 642, 548 |
| 3 | 351, 321, 274 |
| 117, 107, 274 |
∴ So the LCM of the given numbers is 2 x 3 x 117 x 107 x 274 = 20581236
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20581236
Therefore, the GCF of Fractions 890/702,143/642,851/548 is 1/20581236
Least Common Multiple of 702,642,548 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 702,642,548 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(702,642,548) = 2
common factors(in case of two or more numbers have common factors) = 6
GCF(702,642,548) x common factors =2 x 6 = 12
LCM(702,642,548) = ( 702 × 642 × 548 ) / 12
LCM(702,642,548) = 246974832 / 12
LCM(702,642,548) = 20581236
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FAQs on GCF of Fractions of 890/702, 143/642, 851/548
1. What is the HCF of 890,143,851?
The HCF of 890,143,851 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 890/702, 143/642, 851/548?
Answer: GCF of Numerators as per given numbers 890/702, 143/642, 851/548 is
GCF of Numerators i.e. for 890,143,851 is 1
LCM of denominators i.e. for 702,642,548 is 20581236.
Thus, GCF of Fractions is 1/20581236.Finally, GCF of Fractions for 890/702, 143/642, 851/548 is 1/20581236.