GCF of 749/47, 818/478
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 749/47, 818/478 i.e 1/22466 easily. The following is the detailed procedure to determine the greatest common factor of fractions 749/47, 818/478.
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 749/47,818/478?
Given fractions are 749/47,818/478
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 749/47,818/478, numerators are 749,818
Denominators are 47,478
The GCF of 749,818 is 1 .
LCM of 47,478 is 22466.
The greatest common factor of 749/47,818/478 = [GCF of 749,818]/[LCM of 47,478]= 1/22466
Therefore, the GCF of 749/47,818/478 is 1/22466.
To find the highest common factor of 749,818, we have to find the factors of both numbers and list the highest common factor.
The factors of 749 are 1, 7, 107, 749
The factors of 818 are 1, 2, 409, 818
The HCF of 749,818 is 1.
Lets's calculate GCF of 749,818
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 749,818 By Matching Biggest Common Factor Method
Now, list down the factors of 749
:1,7,107,749
Now, list down the factors of 818
:1,2,409,818
Greatest Common Factor
We found the factors 749,818 . The biggest common factor number is the GCF number.
So the greatest common factor 749,818 is 1.
Lets's calculate LCM of 47,478
Given numbers has no common factors except 1. So, there LCM is their product i.e 22466
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22466
Therefore, the GCF of Fractions 749/47,818/478 is 1/22466
Least Common Multiple of 47,478 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 47,478 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,478) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,478) x common factors =1 x 1 = 1
LCM(47,478) = ( 47 × 478 ) / 1
LCM(47,478) = 22466 / 1
LCM(47,478) = 22466
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FAQs on GCF of Fractions of 749/47, 818/478
1. What is the HCF of 749,818?
The HCF of 749,818 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 749/47, 818/478?
Answer: GCF of Numerators as per given numbers 749/47, 818/478 is
GCF of Numerators i.e. for 749,818 is 1
LCM of denominators i.e. for 47,478 is 22466.
Thus, GCF of Fractions is 1/22466.Finally, GCF of Fractions for 749/47, 818/478 is 1/22466.