GCF of 668/621, 836/741
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 668/621, 836/741 i.e 4/153387 easily. The following is the detailed procedure to determine the greatest common factor of fractions 668/621, 836/741.
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 668/621,836/741?
Given fractions are 668/621,836/741
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 668/621,836/741, numerators are 668,836
Denominators are 621,741
The GCF of 668,836 is 4 .
LCM of 621,741 is 153387.
The greatest common factor of 668/621,836/741 = [GCF of 668,836]/[LCM of 621,741]= 4/153387
Therefore, the GCF of 668/621,836/741 is 4/153387.
To find the highest common factor of 668,836, we have to find the factors of both numbers and list the highest common factor.
The factors of 668 are 1, 2, 4, 167, 334, 668
The factors of 836 are 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
The HCF of 668,836 is 4.
Lets's calculate GCF of 668,836
| 2 | 668, 836 |
| 2 | 334, 418 |
| 167, 209 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 668,836 By Matching Biggest Common Factor Method
Now, list down the factors of 668
:1,2,4,167,334,668
Now, list down the factors of 836
:1,2,4,11,19,22,38,44,76,209,418,836
Greatest Common Factor
We found the factors 668,836 . The biggest common factor number is the GCF number.
So the greatest common factor 668,836 is 4.
Lets's calculate LCM of 621,741
| 3 | 621, 741 |
| 207, 247 |
∴ So the LCM of the given numbers is 3 x 207 x 247 = 153387
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/153387
Therefore, the GCF of Fractions 668/621,836/741 is 4/153387
Least Common Multiple of 621,741 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 621,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(621,741) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(621,741) x common factors =3 x 1 = 3
LCM(621,741) = ( 621 × 741 ) / 3
LCM(621,741) = 460161 / 3
LCM(621,741) = 153387
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FAQs on GCF of Fractions of 668/621, 836/741
1. What is the HCF of 668,836?
The HCF of 668,836 is 4
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 668/621, 836/741?
Answer: GCF of Numerators as per given numbers 668/621, 836/741 is
GCF of Numerators i.e. for 668,836 is 4
LCM of denominators i.e. for 621,741 is 153387.
Thus, GCF of Fractions is 4/153387.Finally, GCF of Fractions for 668/621, 836/741 is 4/153387.