GCF of 543/762, 316/746
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 543/762, 316/746 i.e 1/284226 easily. The following is the detailed procedure to determine the greatest common factor of fractions 543/762, 316/746.
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 543/762,316/746?
Given fractions are 543/762,316/746
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 543/762,316/746, numerators are 543,316
Denominators are 762,746
The GCF of 543,316 is 1 .
LCM of 762,746 is 284226.
The greatest common factor of 543/762,316/746 = [GCF of 543,316]/[LCM of 762,746]= 1/284226
Therefore, the GCF of 543/762,316/746 is 1/284226.
To find the highest common factor of 543,316, we have to find the factors of both numbers and list the highest common factor.
The factors of 543 are 1, 3, 181, 543
The factors of 316 are 1, 2, 4, 79, 158, 316
The HCF of 543,316 is 1.
Lets's calculate GCF of 543,316
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 543,316 By Matching Biggest Common Factor Method
Now, list down the factors of 543
:1,3,181,543
Now, list down the factors of 316
:1,2,4,79,158,316
Greatest Common Factor
We found the factors 543,316 . The biggest common factor number is the GCF number.
So the greatest common factor 543,316 is 1.
Lets's calculate LCM of 762,746
| 2 | 762, 746 |
| 381, 373 |
∴ So the LCM of the given numbers is 2 x 381 x 373 = 284226
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/284226
Therefore, the GCF of Fractions 543/762,316/746 is 1/284226
Least Common Multiple of 762,746 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 762,746 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(762,746) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(762,746) x common factors =2 x 1 = 2
LCM(762,746) = ( 762 × 746 ) / 2
LCM(762,746) = 568452 / 2
LCM(762,746) = 284226
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FAQs on GCF of Fractions of 543/762, 316/746
1. What is the HCF of 543,316?
The HCF of 543,316 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 543/762, 316/746?
Answer: GCF of Numerators as per given numbers 543/762, 316/746 is
GCF of Numerators i.e. for 543,316 is 1
LCM of denominators i.e. for 762,746 is 284226.
Thus, GCF of Fractions is 1/284226.Finally, GCF of Fractions for 543/762, 316/746 is 1/284226.