GCF of 1407/849, 7468/7064
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1407/849, 7468/7064 i.e 1/5997336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1407/849, 7468/7064.
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 1407/849,7468/7064?
Given fractions are 1407/849,7468/7064
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 1407/849,7468/7064, numerators are 1407,7468
Denominators are 849,7064
The GCF of 1407,7468 is 1 .
LCM of 849,7064 is 5997336.
The greatest common factor of 1407/849,7468/7064 = [GCF of 1407,7468]/[LCM of 849,7064]= 1/5997336
Therefore, the GCF of 1407/849,7468/7064 is 1/5997336.
To find the highest common factor of 1407,7468, we have to find the factors of both numbers and list the highest common factor.
The factors of 1407 are 1, 3, 7, 21, 67, 201, 469, 1407
The factors of 7468 are 1, 2, 4, 1867, 3734, 7468
The HCF of 1407,7468 is 1.
Lets's calculate GCF of 1407,7468
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1407,7468 By Matching Biggest Common Factor Method
Now, list down the factors of 1407
:1,3,7,21,67,201,469,1407
Now, list down the factors of 7468
:1,2,4,1867,3734,7468
Greatest Common Factor
We found the factors 1407,7468 . The biggest common factor number is the GCF number.
So the greatest common factor 1407,7468 is 1.
Lets's calculate LCM of 849,7064
Given numbers has no common factors except 1. So, there LCM is their product i.e 5997336
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5997336
Therefore, the GCF of Fractions 1407/849,7468/7064 is 1/5997336
Least Common Multiple of 849,7064 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 849,7064 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(849,7064) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(849,7064) x common factors =1 x 1 = 1
LCM(849,7064) = ( 849 × 7064 ) / 1
LCM(849,7064) = 5997336 / 1
LCM(849,7064) = 5997336
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FAQs on GCF of Fractions of 1407/849, 7468/7064
1. What is the HCF of 1407,7468?
The HCF of 1407,7468 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 1407/849, 7468/7064?
Answer: GCF of Numerators as per given numbers 1407/849, 7468/7064 is
GCF of Numerators i.e. for 1407,7468 is 1
LCM of denominators i.e. for 849,7064 is 5997336.
Thus, GCF of Fractions is 1/5997336.Finally, GCF of Fractions for 1407/849, 7468/7064 is 1/5997336.