GCF of 654/865, 435/500, 532/542
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 654/865, 435/500, 532/542 i.e 1/23441500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 654/865, 435/500, 532/542.
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 654/865,435/500,532/542?
Given fractions are 654/865,435/500,532/542
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 654/865,435/500,532/542, numerators are 654,435,532
Denominators are 865,500,542
The GCF of 654,435,532 is 1 .
LCM of 865,500,542 is 23441500.
The greatest common factor of 654/865,435/500,532/542 = [GCF of 654,435,532]/[LCM of 865,500,542]= 1/23441500
Therefore, the GCF of 654/865,435/500,532/542 is 1/23441500.
To find the highest common factor of 654,435,532, we have to find the factors of both numbers and list the highest common factor.
The factors of 654 are 1, 2, 3, 6, 109, 218, 327, 654
The factors of 435 are 1, 3, 5, 15, 29, 87, 145, 435
The factors of 532 are 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
The HCF of 654,435,532 is 1.
Lets's calculate GCF of 654,435,532
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 654,435,532 By Matching Biggest Common Factor Method
Now, list down the factors of 654
:1,2,3,6,109,218,327,654
Now, list down the factors of 435
:1,3,5,15,29,87,145,435
Now, list down the factors of 532
:1,2,4,7,14,19,28,38,76,133,266,532
Greatest Common Factor
We found the factors 654,435,532 . The biggest common factor number is the GCF number.
So the greatest common factor 654,435,532 is 1.
Lets's calculate LCM of 865,500,542
| 2 | 865, 500, 542 |
| 5 | 865, 250, 271 |
| 173, 50, 271 |
∴ So the LCM of the given numbers is 2 x 5 x 173 x 50 x 271 = 23441500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23441500
Therefore, the GCF of Fractions 654/865,435/500,532/542 is 1/23441500
Least Common Multiple of 865,500,542 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 865,500,542 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(865,500,542) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(865,500,542) x common factors =1 x 10 = 10
LCM(865,500,542) = ( 865 × 500 × 542 ) / 10
LCM(865,500,542) = 234415000 / 10
LCM(865,500,542) = 23441500
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 654/865, 435/500, 532/542
1. What is the HCF of 654,435,532?
The HCF of 654,435,532 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 654/865, 435/500, 532/542?
Answer: GCF of Numerators as per given numbers 654/865, 435/500, 532/542 is
GCF of Numerators i.e. for 654,435,532 is 1
LCM of denominators i.e. for 865,500,542 is 23441500.
Thus, GCF of Fractions is 1/23441500.Finally, GCF of Fractions for 654/865, 435/500, 532/542 is 1/23441500.