GCF of 8/52, 46/979, 74/567
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8/52, 46/979, 74/567 i.e 2/28864836 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8/52, 46/979, 74/567.
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 8/52,46/979,74/567?
Given fractions are 8/52,46/979,74/567
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 8/52,46/979,74/567, numerators are 8,46,74
Denominators are 52,979,567
The GCF of 8,46,74 is 2 .
LCM of 52,979,567 is 28864836.
The greatest common factor of 8/52,46/979,74/567 = [GCF of 8,46,74]/[LCM of 52,979,567]= 2/28864836
Therefore, the GCF of 8/52,46/979,74/567 is 2/28864836.
To find the highest common factor of 8,46,74, we have to find the factors of both numbers and list the highest common factor.
The factors of 8 are 1, 2, 4, 8
The factors of 46 are 1, 2, 23, 46
The factors of 74 are 1, 2, 37, 74
The HCF of 8,46,74 is 2.
Lets's calculate GCF of 8,46,74
| 2 | 8, 46, 74 |
| 4, 23, 37 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8,46,74 By Matching Biggest Common Factor Method
Now, list down the factors of 8
:1,2,4,8
Now, list down the factors of 46
:1,2,23,46
Now, list down the factors of 74
:1,2,37,74
Greatest Common Factor
We found the factors 8,46,74 . The biggest common factor number is the GCF number.
So the greatest common factor 8,46,74 is 2.
Lets's calculate LCM of 52,979,567
Given numbers has no common factors except 1. So, there LCM is their product i.e 28864836
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/28864836
Therefore, the GCF of Fractions 8/52,46/979,74/567 is 2/28864836
Least Common Multiple of 52,979,567 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 52,979,567 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,979,567) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(52,979,567) x common factors =1 x 1 = 1
LCM(52,979,567) = ( 52 × 979 × 567 ) / 1
LCM(52,979,567) = 28864836 / 1
LCM(52,979,567) = 28864836
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FAQs on GCF of Fractions of 8/52, 46/979, 74/567
1. What is the HCF of 8,46,74?
The HCF of 8,46,74 is 2
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 8/52, 46/979, 74/567?
Answer: GCF of Numerators as per given numbers 8/52, 46/979, 74/567 is
GCF of Numerators i.e. for 8,46,74 is 2
LCM of denominators i.e. for 52,979,567 is 28864836.
Thus, GCF of Fractions is 2/28864836.Finally, GCF of Fractions for 8/52, 46/979, 74/567 is 2/28864836.