GCF of 5420/826, 4658/4210
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5420/826, 4658/4210 i.e 2/1738730 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5420/826, 4658/4210.
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 5420/826,4658/4210?
Given fractions are 5420/826,4658/4210
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 5420/826,4658/4210, numerators are 5420,4658
Denominators are 826,4210
The GCF of 5420,4658 is 2 .
LCM of 826,4210 is 1738730.
The greatest common factor of 5420/826,4658/4210 = [GCF of 5420,4658]/[LCM of 826,4210]= 2/1738730
Therefore, the GCF of 5420/826,4658/4210 is 2/1738730.
To find the highest common factor of 5420,4658, we have to find the factors of both numbers and list the highest common factor.
The factors of 5420 are 1, 2, 4, 5, 10, 20, 271, 542, 1084, 1355, 2710, 5420
The factors of 4658 are 1, 2, 17, 34, 137, 274, 2329, 4658
The HCF of 5420,4658 is 2.
Lets's calculate GCF of 5420,4658
| 2 | 5420, 4658 |
| 2710, 2329 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5420,4658 By Matching Biggest Common Factor Method
Now, list down the factors of 5420
:1,2,4,5,10,20,271,542,1084,1355,2710,5420
Now, list down the factors of 4658
:1,2,17,34,137,274,2329,4658
Greatest Common Factor
We found the factors 5420,4658 . The biggest common factor number is the GCF number.
So the greatest common factor 5420,4658 is 2.
Lets's calculate LCM of 826,4210
| 2 | 826, 4210 |
| 413, 2105 |
∴ So the LCM of the given numbers is 2 x 413 x 2105 = 1738730
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1738730
Therefore, the GCF of Fractions 5420/826,4658/4210 is 2/1738730
Least Common Multiple of 826,4210 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 826,4210 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(826,4210) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(826,4210) x common factors =2 x 1 = 2
LCM(826,4210) = ( 826 × 4210 ) / 2
LCM(826,4210) = 3477460 / 2
LCM(826,4210) = 1738730
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FAQs on GCF of Fractions of 5420/826, 4658/4210
1. What is the HCF of 5420,4658?
The HCF of 5420,4658 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 5420/826, 4658/4210?
Answer: GCF of Numerators as per given numbers 5420/826, 4658/4210 is
GCF of Numerators i.e. for 5420,4658 is 2
LCM of denominators i.e. for 826,4210 is 1738730.
Thus, GCF of Fractions is 2/1738730.Finally, GCF of Fractions for 5420/826, 4658/4210 is 2/1738730.