GCF of 89/865, 315/536, 803/267
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 89/865, 315/536, 803/267 i.e 1/123791880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 89/865, 315/536, 803/267.
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 89/865,315/536,803/267?
Given fractions are 89/865,315/536,803/267
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 89/865,315/536,803/267, numerators are 89,315,803
Denominators are 865,536,267
The GCF of 89,315,803 is 1 .
LCM of 865,536,267 is 123791880.
The greatest common factor of 89/865,315/536,803/267 = [GCF of 89,315,803]/[LCM of 865,536,267]= 1/123791880
Therefore, the GCF of 89/865,315/536,803/267 is 1/123791880.
To find the highest common factor of 89,315,803, we have to find the factors of both numbers and list the highest common factor.
The factors of 89 are 1, 89
The factors of 315 are 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
The factors of 803 are 1, 11, 73, 803
The HCF of 89,315,803 is 1.
Lets's calculate GCF of 89,315,803
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 89,315,803 By Matching Biggest Common Factor Method
Now, list down the factors of 89
:1,89
Now, list down the factors of 315
:1,3,5,7,9,15,21,35,45,63,105,315
Now, list down the factors of 803
:1,11,73,803
Greatest Common Factor
We found the factors 89,315,803 . The biggest common factor number is the GCF number.
So the greatest common factor 89,315,803 is 1.
Lets's calculate LCM of 865,536,267
Given numbers has no common factors except 1. So, there LCM is their product i.e 123791880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/123791880
Therefore, the GCF of Fractions 89/865,315/536,803/267 is 1/123791880
Least Common Multiple of 865,536,267 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 865,536,267 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(865,536,267) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(865,536,267) x common factors =1 x 1 = 1
LCM(865,536,267) = ( 865 × 536 × 267 ) / 1
LCM(865,536,267) = 123791880 / 1
LCM(865,536,267) = 123791880
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FAQs on GCF of Fractions of 89/865, 315/536, 803/267
1. What is the HCF of 89,315,803?
The HCF of 89,315,803 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 89/865, 315/536, 803/267?
Answer: GCF of Numerators as per given numbers 89/865, 315/536, 803/267 is
GCF of Numerators i.e. for 89,315,803 is 1
LCM of denominators i.e. for 865,536,267 is 123791880.
Thus, GCF of Fractions is 1/123791880.Finally, GCF of Fractions for 89/865, 315/536, 803/267 is 1/123791880.