GCF of 547/68, 103/84, 530/96
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 547/68, 103/84, 530/96 i.e 1/11424 easily. The following is the detailed procedure to determine the greatest common factor of fractions 547/68, 103/84, 530/96.
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 547/68,103/84,530/96?
Given fractions are 547/68,103/84,530/96
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 547/68,103/84,530/96, numerators are 547,103,530
Denominators are 68,84,96
The GCF of 547,103,530 is 1 .
LCM of 68,84,96 is 11424.
The greatest common factor of 547/68,103/84,530/96 = [GCF of 547,103,530]/[LCM of 68,84,96]= 1/11424
Therefore, the GCF of 547/68,103/84,530/96 is 1/11424.
To find the highest common factor of 547,103,530, we have to find the factors of both numbers and list the highest common factor.
The factors of 547 are 1, 547
The factors of 103 are 1, 103
The factors of 530 are 1, 2, 5, 10, 53, 106, 265, 530
The HCF of 547,103,530 is 1.
Lets's calculate GCF of 547,103,530
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 547,103,530 By Matching Biggest Common Factor Method
Now, list down the factors of 547
:1,547
Now, list down the factors of 103
:1,103
Now, list down the factors of 530
:1,2,5,10,53,106,265,530
Greatest Common Factor
We found the factors 547,103,530 . The biggest common factor number is the GCF number.
So the greatest common factor 547,103,530 is 1.
Lets's calculate LCM of 68,84,96
| 2 | 68, 84, 96 |
| 2 | 34, 42, 48 |
| 3 | 17, 21, 24 |
| 17, 7, 8 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 17 x 7 x 8 = 11424
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11424
Therefore, the GCF of Fractions 547/68,103/84,530/96 is 1/11424
Least Common Multiple of 68,84,96 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 68,84,96 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,84,96) = 4
common factors(in case of two or more numbers have common factors) = 12
GCF(68,84,96) x common factors =4 x 12 = 48
LCM(68,84,96) = ( 68 × 84 × 96 ) / 48
LCM(68,84,96) = 548352 / 48
LCM(68,84,96) = 11424
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FAQs on GCF of Fractions of 547/68, 103/84, 530/96
1. What is the HCF of 547,103,530?
The HCF of 547,103,530 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 547/68, 103/84, 530/96?
Answer: GCF of Numerators as per given numbers 547/68, 103/84, 530/96 is
GCF of Numerators i.e. for 547,103,530 is 1
LCM of denominators i.e. for 68,84,96 is 11424.
Thus, GCF of Fractions is 1/11424.Finally, GCF of Fractions for 547/68, 103/84, 530/96 is 1/11424.