GCF of 6668/698, 1780/4261
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6668/698, 1780/4261 i.e 4/2974178 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6668/698, 1780/4261.
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 6668/698,1780/4261?
Given fractions are 6668/698,1780/4261
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 6668/698,1780/4261, numerators are 6668,1780
Denominators are 698,4261
The GCF of 6668,1780 is 4 .
LCM of 698,4261 is 2974178.
The greatest common factor of 6668/698,1780/4261 = [GCF of 6668,1780]/[LCM of 698,4261]= 4/2974178
Therefore, the GCF of 6668/698,1780/4261 is 4/2974178.
To find the highest common factor of 6668,1780, we have to find the factors of both numbers and list the highest common factor.
The factors of 6668 are 1, 2, 4, 1667, 3334, 6668
The factors of 1780 are 1, 2, 4, 5, 10, 20, 89, 178, 356, 445, 890, 1780
The HCF of 6668,1780 is 4.
Lets's calculate GCF of 6668,1780
| 2 | 6668, 1780 |
| 2 | 3334, 890 |
| 1667, 445 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 6668,1780 By Matching Biggest Common Factor Method
Now, list down the factors of 6668
:1,2,4,1667,3334,6668
Now, list down the factors of 1780
:1,2,4,5,10,20,89,178,356,445,890,1780
Greatest Common Factor
We found the factors 6668,1780 . The biggest common factor number is the GCF number.
So the greatest common factor 6668,1780 is 4.
Lets's calculate LCM of 698,4261
Given numbers has no common factors except 1. So, there LCM is their product i.e 2974178
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2974178
Therefore, the GCF of Fractions 6668/698,1780/4261 is 4/2974178
Least Common Multiple of 698,4261 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 698,4261 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(698,4261) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(698,4261) x common factors =1 x 1 = 1
LCM(698,4261) = ( 698 × 4261 ) / 1
LCM(698,4261) = 2974178 / 1
LCM(698,4261) = 2974178
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FAQs on GCF of Fractions of 6668/698, 1780/4261
1. What is the HCF of 6668,1780?
The HCF of 6668,1780 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 6668/698, 1780/4261?
Answer: GCF of Numerators as per given numbers 6668/698, 1780/4261 is
GCF of Numerators i.e. for 6668,1780 is 4
LCM of denominators i.e. for 698,4261 is 2974178.
Thus, GCF of Fractions is 4/2974178.Finally, GCF of Fractions for 6668/698, 1780/4261 is 4/2974178.