GCF of 4607/677, 3414/116
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4607/677, 3414/116 i.e 1/78532 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4607/677, 3414/116.
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 4607/677,3414/116?
Given fractions are 4607/677,3414/116
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 4607/677,3414/116, numerators are 4607,3414
Denominators are 677,116
The GCF of 4607,3414 is 1 .
LCM of 677,116 is 78532.
The greatest common factor of 4607/677,3414/116 = [GCF of 4607,3414]/[LCM of 677,116]= 1/78532
Therefore, the GCF of 4607/677,3414/116 is 1/78532.
To find the highest common factor of 4607,3414, we have to find the factors of both numbers and list the highest common factor.
The factors of 4607 are 1, 17, 271, 4607
The factors of 3414 are 1, 2, 3, 6, 569, 1138, 1707, 3414
The HCF of 4607,3414 is 1.
Lets's calculate GCF of 4607,3414
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4607,3414 By Matching Biggest Common Factor Method
Now, list down the factors of 4607
:1,17,271,4607
Now, list down the factors of 3414
:1,2,3,6,569,1138,1707,3414
Greatest Common Factor
We found the factors 4607,3414 . The biggest common factor number is the GCF number.
So the greatest common factor 4607,3414 is 1.
Lets's calculate LCM of 677,116
Given numbers has no common factors except 1. So, there LCM is their product i.e 78532
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/78532
Therefore, the GCF of Fractions 4607/677,3414/116 is 1/78532
Least Common Multiple of 677,116 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 677,116 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(677,116) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(677,116) x common factors =1 x 1 = 1
LCM(677,116) = ( 677 × 116 ) / 1
LCM(677,116) = 78532 / 1
LCM(677,116) = 78532
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FAQs on GCF of Fractions of 4607/677, 3414/116
1. What is the HCF of 4607,3414?
The HCF of 4607,3414 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 4607/677, 3414/116?
Answer: GCF of Numerators as per given numbers 4607/677, 3414/116 is
GCF of Numerators i.e. for 4607,3414 is 1
LCM of denominators i.e. for 677,116 is 78532.
Thus, GCF of Fractions is 1/78532.Finally, GCF of Fractions for 4607/677, 3414/116 is 1/78532.