GCF of 5260/441, 7220/6106
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5260/441, 7220/6106 i.e 20/2692746 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5260/441, 7220/6106.
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 5260/441,7220/6106?
Given fractions are 5260/441,7220/6106
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 5260/441,7220/6106, numerators are 5260,7220
Denominators are 441,6106
The GCF of 5260,7220 is 20 .
LCM of 441,6106 is 2692746.
The greatest common factor of 5260/441,7220/6106 = [GCF of 5260,7220]/[LCM of 441,6106]= 20/2692746
Therefore, the GCF of 5260/441,7220/6106 is 20/2692746.
To find the highest common factor of 5260,7220, we have to find the factors of both numbers and list the highest common factor.
The factors of 5260 are 1, 2, 4, 5, 10, 20, 263, 526, 1052, 1315, 2630, 5260
The factors of 7220 are 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 361, 380, 722, 1444, 1805, 3610, 7220
The HCF of 5260,7220 is 20.
Lets's calculate GCF of 5260,7220
| 2 | 5260, 7220 |
| 2 | 2630, 3610 |
| 5 | 1315, 1805 |
| 263, 361 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Greatest Common Factor of 5260,7220 By Matching Biggest Common Factor Method
Now, list down the factors of 5260
:1,2,4,5,10,20,263,526,1052,1315,2630,5260
Now, list down the factors of 7220
:1,2,4,5,10,19,20,38,76,95,190,361,380,722,1444,1805,3610,7220
Greatest Common Factor
We found the factors 5260,7220 . The biggest common factor number is the GCF number.
So the greatest common factor 5260,7220 is 20.
Lets's calculate LCM of 441,6106
Given numbers has no common factors except 1. So, there LCM is their product i.e 2692746
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/2692746
Therefore, the GCF of Fractions 5260/441,7220/6106 is 20/2692746
Least Common Multiple of 441,6106 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 441,6106 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(441,6106) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(441,6106) x common factors =1 x 1 = 1
LCM(441,6106) = ( 441 × 6106 ) / 1
LCM(441,6106) = 2692746 / 1
LCM(441,6106) = 2692746
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FAQs on GCF of Fractions of 5260/441, 7220/6106
1. What is the HCF of 5260,7220?
The HCF of 5260,7220 is 20
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 5260/441, 7220/6106?
Answer: GCF of Numerators as per given numbers 5260/441, 7220/6106 is
GCF of Numerators i.e. for 5260,7220 is 20
LCM of denominators i.e. for 441,6106 is 2692746.
Thus, GCF of Fractions is 20/2692746.Finally, GCF of Fractions for 5260/441, 7220/6106 is 20/2692746.