GCF of 5558/214, 3978/6630
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5558/214, 3978/6630 i.e 2/709410 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5558/214, 3978/6630.
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 5558/214,3978/6630?
Given fractions are 5558/214,3978/6630
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 5558/214,3978/6630, numerators are 5558,3978
Denominators are 214,6630
The GCF of 5558,3978 is 2 .
LCM of 214,6630 is 709410.
The greatest common factor of 5558/214,3978/6630 = [GCF of 5558,3978]/[LCM of 214,6630]= 2/709410
Therefore, the GCF of 5558/214,3978/6630 is 2/709410.
To find the highest common factor of 5558,3978, we have to find the factors of both numbers and list the highest common factor.
The factors of 5558 are 1, 2, 7, 14, 397, 794, 2779, 5558
The factors of 3978 are 1, 2, 3, 6, 9, 13, 17, 18, 26, 34, 39, 51, 78, 102, 117, 153, 221, 234, 306, 442, 663, 1326, 1989, 3978
The HCF of 5558,3978 is 2.
Lets's calculate GCF of 5558,3978
| 2 | 5558, 3978 |
| 2779, 1989 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5558,3978 By Matching Biggest Common Factor Method
Now, list down the factors of 5558
:1,2,7,14,397,794,2779,5558
Now, list down the factors of 3978
:1,2,3,6,9,13,17,18,26,34,39,51,78,102,117,153,221,234,306,442,663,1326,1989,3978
Greatest Common Factor
We found the factors 5558,3978 . The biggest common factor number is the GCF number.
So the greatest common factor 5558,3978 is 2.
Lets's calculate LCM of 214,6630
| 2 | 214, 6630 |
| 107, 3315 |
∴ So the LCM of the given numbers is 2 x 107 x 3315 = 709410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/709410
Therefore, the GCF of Fractions 5558/214,3978/6630 is 2/709410
Least Common Multiple of 214,6630 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 214,6630 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(214,6630) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(214,6630) x common factors =2 x 1 = 2
LCM(214,6630) = ( 214 × 6630 ) / 2
LCM(214,6630) = 1418820 / 2
LCM(214,6630) = 709410
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FAQs on GCF of Fractions of 5558/214, 3978/6630
1. What is the HCF of 5558,3978?
The HCF of 5558,3978 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 5558/214, 3978/6630?
Answer: GCF of Numerators as per given numbers 5558/214, 3978/6630 is
GCF of Numerators i.e. for 5558,3978 is 2
LCM of denominators i.e. for 214,6630 is 709410.
Thus, GCF of Fractions is 2/709410.Finally, GCF of Fractions for 5558/214, 3978/6630 is 2/709410.