GCF of 1474/688, 3733/4021
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1474/688, 3733/4021 i.e 1/2766448 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1474/688, 3733/4021.
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 1474/688,3733/4021?
Given fractions are 1474/688,3733/4021
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 1474/688,3733/4021, numerators are 1474,3733
Denominators are 688,4021
The GCF of 1474,3733 is 1 .
LCM of 688,4021 is 2766448.
The greatest common factor of 1474/688,3733/4021 = [GCF of 1474,3733]/[LCM of 688,4021]= 1/2766448
Therefore, the GCF of 1474/688,3733/4021 is 1/2766448.
To find the highest common factor of 1474,3733, we have to find the factors of both numbers and list the highest common factor.
The factors of 1474 are 1, 2, 11, 22, 67, 134, 737, 1474
The factors of 3733 are 1, 3733
The HCF of 1474,3733 is 1.
Lets's calculate GCF of 1474,3733
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1474,3733 By Matching Biggest Common Factor Method
Now, list down the factors of 1474
:1,2,11,22,67,134,737,1474
Now, list down the factors of 3733
:1,3733
Greatest Common Factor
We found the factors 1474,3733 . The biggest common factor number is the GCF number.
So the greatest common factor 1474,3733 is 1.
Lets's calculate LCM of 688,4021
Given numbers has no common factors except 1. So, there LCM is their product i.e 2766448
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2766448
Therefore, the GCF of Fractions 1474/688,3733/4021 is 1/2766448
Least Common Multiple of 688,4021 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 688,4021 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(688,4021) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(688,4021) x common factors =1 x 1 = 1
LCM(688,4021) = ( 688 × 4021 ) / 1
LCM(688,4021) = 2766448 / 1
LCM(688,4021) = 2766448
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FAQs on GCF of Fractions of 1474/688, 3733/4021
1. What is the HCF of 1474,3733?
The HCF of 1474,3733 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 1474/688, 3733/4021?
Answer: GCF of Numerators as per given numbers 1474/688, 3733/4021 is
GCF of Numerators i.e. for 1474,3733 is 1
LCM of denominators i.e. for 688,4021 is 2766448.
Thus, GCF of Fractions is 1/2766448.Finally, GCF of Fractions for 1474/688, 3733/4021 is 1/2766448.