GCF of 877/78, 115/19, 563/61
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 877/78, 115/19, 563/61 i.e 1/90402 easily. The following is the detailed procedure to determine the greatest common factor of fractions 877/78, 115/19, 563/61.
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 877/78,115/19,563/61?
Given fractions are 877/78,115/19,563/61
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 877/78,115/19,563/61, numerators are 877,115,563
Denominators are 78,19,61
The GCF of 877,115,563 is 1 .
LCM of 78,19,61 is 90402.
The greatest common factor of 877/78,115/19,563/61 = [GCF of 877,115,563]/[LCM of 78,19,61]= 1/90402
Therefore, the GCF of 877/78,115/19,563/61 is 1/90402.
To find the highest common factor of 877,115,563, we have to find the factors of both numbers and list the highest common factor.
The factors of 877 are 1, 877
The factors of 115 are 1, 5, 23, 115
The factors of 563 are 1, 563
The HCF of 877,115,563 is 1.
Lets's calculate GCF of 877,115,563
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 877,115,563 By Matching Biggest Common Factor Method
Now, list down the factors of 877
:1,877
Now, list down the factors of 115
:1,5,23,115
Now, list down the factors of 563
:1,563
Greatest Common Factor
We found the factors 877,115,563 . The biggest common factor number is the GCF number.
So the greatest common factor 877,115,563 is 1.
Lets's calculate LCM of 78,19,61
Given numbers has no common factors except 1. So, there LCM is their product i.e 90402
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/90402
Therefore, the GCF of Fractions 877/78,115/19,563/61 is 1/90402
Least Common Multiple of 78,19,61 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 78,19,61 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,19,61) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(78,19,61) x common factors =1 x 1 = 1
LCM(78,19,61) = ( 78 × 19 × 61 ) / 1
LCM(78,19,61) = 90402 / 1
LCM(78,19,61) = 90402
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FAQs on GCF of Fractions of 877/78, 115/19, 563/61
1. What is the HCF of 877,115,563?
The HCF of 877,115,563 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 877/78, 115/19, 563/61?
Answer: GCF of Numerators as per given numbers 877/78, 115/19, 563/61 is
GCF of Numerators i.e. for 877,115,563 is 1
LCM of denominators i.e. for 78,19,61 is 90402.
Thus, GCF of Fractions is 1/90402.Finally, GCF of Fractions for 877/78, 115/19, 563/61 is 1/90402.