GCF of 83/619, 74/865, 928/967
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 83/619, 74/865, 928/967 i.e 1/517765645 easily. The following is the detailed procedure to determine the greatest common factor of fractions 83/619, 74/865, 928/967.
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 83/619,74/865,928/967?
Given fractions are 83/619,74/865,928/967
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 83/619,74/865,928/967, numerators are 83,74,928
Denominators are 619,865,967
The GCF of 83,74,928 is 1 .
LCM of 619,865,967 is 517765645.
The greatest common factor of 83/619,74/865,928/967 = [GCF of 83,74,928]/[LCM of 619,865,967]= 1/517765645
Therefore, the GCF of 83/619,74/865,928/967 is 1/517765645.
To find the highest common factor of 83,74,928, we have to find the factors of both numbers and list the highest common factor.
The factors of 83 are 1, 83
The factors of 74 are 1, 2, 37, 74
The factors of 928 are 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
The HCF of 83,74,928 is 1.
Lets's calculate GCF of 83,74,928
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 83,74,928 By Matching Biggest Common Factor Method
Now, list down the factors of 83
:1,83
Now, list down the factors of 74
:1,2,37,74
Now, list down the factors of 928
:1,2,4,8,16,29,32,58,116,232,464,928
Greatest Common Factor
We found the factors 83,74,928 . The biggest common factor number is the GCF number.
So the greatest common factor 83,74,928 is 1.
Lets's calculate LCM of 619,865,967
Given numbers has no common factors except 1. So, there LCM is their product i.e 517765645
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/517765645
Therefore, the GCF of Fractions 83/619,74/865,928/967 is 1/517765645
Least Common Multiple of 619,865,967 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 619,865,967 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(619,865,967) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(619,865,967) x common factors =1 x 1 = 1
LCM(619,865,967) = ( 619 × 865 × 967 ) / 1
LCM(619,865,967) = 517765645 / 1
LCM(619,865,967) = 517765645
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FAQs on GCF of Fractions of 83/619, 74/865, 928/967
1. What is the HCF of 83,74,928?
The HCF of 83,74,928 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 83/619, 74/865, 928/967?
Answer: GCF of Numerators as per given numbers 83/619, 74/865, 928/967 is
GCF of Numerators i.e. for 83,74,928 is 1
LCM of denominators i.e. for 619,865,967 is 517765645.
Thus, GCF of Fractions is 1/517765645.Finally, GCF of Fractions for 83/619, 74/865, 928/967 is 1/517765645.