GCF of 3118/670, 4662/4351
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3118/670, 4662/4351 i.e 2/2915170 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3118/670, 4662/4351.
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 3118/670,4662/4351?
Given fractions are 3118/670,4662/4351
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 3118/670,4662/4351, numerators are 3118,4662
Denominators are 670,4351
The GCF of 3118,4662 is 2 .
LCM of 670,4351 is 2915170.
The greatest common factor of 3118/670,4662/4351 = [GCF of 3118,4662]/[LCM of 670,4351]= 2/2915170
Therefore, the GCF of 3118/670,4662/4351 is 2/2915170.
To find the highest common factor of 3118,4662, we have to find the factors of both numbers and list the highest common factor.
The factors of 3118 are 1, 2, 1559, 3118
The factors of 4662 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 37, 42, 63, 74, 111, 126, 222, 259, 333, 518, 666, 777, 1554, 2331, 4662
The HCF of 3118,4662 is 2.
Lets's calculate GCF of 3118,4662
| 2 | 3118, 4662 |
| 1559, 2331 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3118,4662 By Matching Biggest Common Factor Method
Now, list down the factors of 3118
:1,2,1559,3118
Now, list down the factors of 4662
:1,2,3,6,7,9,14,18,21,37,42,63,74,111,126,222,259,333,518,666,777,1554,2331,4662
Greatest Common Factor
We found the factors 3118,4662 . The biggest common factor number is the GCF number.
So the greatest common factor 3118,4662 is 2.
Lets's calculate LCM of 670,4351
Given numbers has no common factors except 1. So, there LCM is their product i.e 2915170
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2915170
Therefore, the GCF of Fractions 3118/670,4662/4351 is 2/2915170
Least Common Multiple of 670,4351 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 670,4351 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(670,4351) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(670,4351) x common factors =1 x 1 = 1
LCM(670,4351) = ( 670 × 4351 ) / 1
LCM(670,4351) = 2915170 / 1
LCM(670,4351) = 2915170
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FAQs on GCF of Fractions of 3118/670, 4662/4351
1. What is the HCF of 3118,4662?
The HCF of 3118,4662 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 3118/670, 4662/4351?
Answer: GCF of Numerators as per given numbers 3118/670, 4662/4351 is
GCF of Numerators i.e. for 3118,4662 is 2
LCM of denominators i.e. for 670,4351 is 2915170.
Thus, GCF of Fractions is 2/2915170.Finally, GCF of Fractions for 3118/670, 4662/4351 is 2/2915170.