GCF of 7444/348, 2414/8780
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7444/348, 2414/8780 i.e 2/763860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7444/348, 2414/8780.
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 7444/348,2414/8780?
Given fractions are 7444/348,2414/8780
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 7444/348,2414/8780, numerators are 7444,2414
Denominators are 348,8780
The GCF of 7444,2414 is 2 .
LCM of 348,8780 is 763860.
The greatest common factor of 7444/348,2414/8780 = [GCF of 7444,2414]/[LCM of 348,8780]= 2/763860
Therefore, the GCF of 7444/348,2414/8780 is 2/763860.
To find the highest common factor of 7444,2414, we have to find the factors of both numbers and list the highest common factor.
The factors of 7444 are 1, 2, 4, 1861, 3722, 7444
The factors of 2414 are 1, 2, 17, 34, 71, 142, 1207, 2414
The HCF of 7444,2414 is 2.
Lets's calculate GCF of 7444,2414
| 2 | 7444, 2414 |
| 3722, 1207 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7444,2414 By Matching Biggest Common Factor Method
Now, list down the factors of 7444
:1,2,4,1861,3722,7444
Now, list down the factors of 2414
:1,2,17,34,71,142,1207,2414
Greatest Common Factor
We found the factors 7444,2414 . The biggest common factor number is the GCF number.
So the greatest common factor 7444,2414 is 2.
Lets's calculate LCM of 348,8780
| 2 | 348, 8780 |
| 2 | 174, 4390 |
| 87, 2195 |
∴ So the LCM of the given numbers is 2 x 2 x 87 x 2195 = 763860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/763860
Therefore, the GCF of Fractions 7444/348,2414/8780 is 2/763860
Least Common Multiple of 348,8780 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 348,8780 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(348,8780) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(348,8780) x common factors =4 x 1 = 4
LCM(348,8780) = ( 348 × 8780 ) / 4
LCM(348,8780) = 3055440 / 4
LCM(348,8780) = 763860
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FAQs on GCF of Fractions of 7444/348, 2414/8780
1. What is the HCF of 7444,2414?
The HCF of 7444,2414 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 7444/348, 2414/8780?
Answer: GCF of Numerators as per given numbers 7444/348, 2414/8780 is
GCF of Numerators i.e. for 7444,2414 is 2
LCM of denominators i.e. for 348,8780 is 763860.
Thus, GCF of Fractions is 2/763860.Finally, GCF of Fractions for 7444/348, 2414/8780 is 2/763860.