GCF of 921/28, 140/52, 541/85
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 921/28, 140/52, 541/85 i.e 1/30940 easily. The following is the detailed procedure to determine the greatest common factor of fractions 921/28, 140/52, 541/85.
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 921/28,140/52,541/85?
Given fractions are 921/28,140/52,541/85
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 921/28,140/52,541/85, numerators are 921,140,541
Denominators are 28,52,85
The GCF of 921,140,541 is 1 .
LCM of 28,52,85 is 30940.
The greatest common factor of 921/28,140/52,541/85 = [GCF of 921,140,541]/[LCM of 28,52,85]= 1/30940
Therefore, the GCF of 921/28,140/52,541/85 is 1/30940.
To find the highest common factor of 921,140,541, we have to find the factors of both numbers and list the highest common factor.
The factors of 921 are 1, 3, 307, 921
The factors of 140 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
The factors of 541 are 1, 541
The HCF of 921,140,541 is 1.
Lets's calculate GCF of 921,140,541
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 921,140,541 By Matching Biggest Common Factor Method
Now, list down the factors of 921
:1,3,307,921
Now, list down the factors of 140
:1,2,4,5,7,10,14,20,28,35,70,140
Now, list down the factors of 541
:1,541
Greatest Common Factor
We found the factors 921,140,541 . The biggest common factor number is the GCF number.
So the greatest common factor 921,140,541 is 1.
Lets's calculate LCM of 28,52,85
| 2 | 28, 52, 85 |
| 2 | 14, 26, 85 |
| 7, 13, 85 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 13 x 85 = 30940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30940
Therefore, the GCF of Fractions 921/28,140/52,541/85 is 1/30940
Least Common Multiple of 28,52,85 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 28,52,85 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,52,85) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(28,52,85) x common factors =1 x 4 = 4
LCM(28,52,85) = ( 28 × 52 × 85 ) / 4
LCM(28,52,85) = 123760 / 4
LCM(28,52,85) = 30940
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 921/28, 140/52, 541/85
1. What is the HCF of 921,140,541?
The HCF of 921,140,541 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 921/28, 140/52, 541/85?
Answer: GCF of Numerators as per given numbers 921/28, 140/52, 541/85 is
GCF of Numerators i.e. for 921,140,541 is 1
LCM of denominators i.e. for 28,52,85 is 30940.
Thus, GCF of Fractions is 1/30940.Finally, GCF of Fractions for 921/28, 140/52, 541/85 is 1/30940.