GCF of 3370/667, 7414/2332
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3370/667, 7414/2332 i.e 674/1555444 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3370/667, 7414/2332.
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 3370/667,7414/2332?
Given fractions are 3370/667,7414/2332
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 3370/667,7414/2332, numerators are 3370,7414
Denominators are 667,2332
The GCF of 3370,7414 is 674 .
LCM of 667,2332 is 1555444.
The greatest common factor of 3370/667,7414/2332 = [GCF of 3370,7414]/[LCM of 667,2332]= 674/1555444
Therefore, the GCF of 3370/667,7414/2332 is 674/1555444.
To find the highest common factor of 3370,7414, we have to find the factors of both numbers and list the highest common factor.
The factors of 3370 are 1, 2, 5, 10, 337, 674, 1685, 3370
The factors of 7414 are 1, 2, 11, 22, 337, 674, 3707, 7414
The HCF of 3370,7414 is 674.
Lets's calculate GCF of 3370,7414
| 2 | 3370, 7414 |
| 337 | 1685, 3707 |
| 5, 11 |
∴ So the GCF of the given numbers is 2 x 337 = 674
Greatest Common Factor of 3370,7414 By Matching Biggest Common Factor Method
Now, list down the factors of 3370
:1,2,5,10,337,674,1685,3370
Now, list down the factors of 7414
:1,2,11,22,337,674,3707,7414
Greatest Common Factor
We found the factors 3370,7414 . The biggest common factor number is the GCF number.
So the greatest common factor 3370,7414 is 674.
Lets's calculate LCM of 667,2332
Given numbers has no common factors except 1. So, there LCM is their product i.e 1555444
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 674/1555444
Therefore, the GCF of Fractions 3370/667,7414/2332 is 674/1555444
Least Common Multiple of 667,2332 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 667,2332 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(667,2332) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(667,2332) x common factors =1 x 1 = 1
LCM(667,2332) = ( 667 × 2332 ) / 1
LCM(667,2332) = 1555444 / 1
LCM(667,2332) = 1555444
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FAQs on GCF of Fractions of 3370/667, 7414/2332
1. What is the HCF of 3370,7414?
The HCF of 3370,7414 is 674
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 3370/667, 7414/2332?
Answer: GCF of Numerators as per given numbers 3370/667, 7414/2332 is
GCF of Numerators i.e. for 3370,7414 is 674
LCM of denominators i.e. for 667,2332 is 1555444.
Thus, GCF of Fractions is 674/1555444.Finally, GCF of Fractions for 3370/667, 7414/2332 is 674/1555444.