GCF of 5480/971, 6860/5669
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5480/971, 6860/5669 i.e 20/5504599 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5480/971, 6860/5669.
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 5480/971,6860/5669?
Given fractions are 5480/971,6860/5669
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 5480/971,6860/5669, numerators are 5480,6860
Denominators are 971,5669
The GCF of 5480,6860 is 20 .
LCM of 971,5669 is 5504599.
The greatest common factor of 5480/971,6860/5669 = [GCF of 5480,6860]/[LCM of 971,5669]= 20/5504599
Therefore, the GCF of 5480/971,6860/5669 is 20/5504599.
To find the highest common factor of 5480,6860, we have to find the factors of both numbers and list the highest common factor.
The factors of 5480 are 1, 2, 4, 5, 8, 10, 20, 40, 137, 274, 548, 685, 1096, 1370, 2740, 5480
The factors of 6860 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 343, 490, 686, 980, 1372, 1715, 3430, 6860
The HCF of 5480,6860 is 20.
Lets's calculate GCF of 5480,6860
| 2 | 5480, 6860 |
| 2 | 2740, 3430 |
| 5 | 1370, 1715 |
| 274, 343 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Greatest Common Factor of 5480,6860 By Matching Biggest Common Factor Method
Now, list down the factors of 5480
:1,2,4,5,8,10,20,40,137,274,548,685,1096,1370,2740,5480
Now, list down the factors of 6860
:1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,343,490,686,980,1372,1715,3430,6860
Greatest Common Factor
We found the factors 5480,6860 . The biggest common factor number is the GCF number.
So the greatest common factor 5480,6860 is 20.
Lets's calculate LCM of 971,5669
Given numbers has no common factors except 1. So, there LCM is their product i.e 5504599
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/5504599
Therefore, the GCF of Fractions 5480/971,6860/5669 is 20/5504599
Least Common Multiple of 971,5669 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 971,5669 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(971,5669) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(971,5669) x common factors =1 x 1 = 1
LCM(971,5669) = ( 971 × 5669 ) / 1
LCM(971,5669) = 5504599 / 1
LCM(971,5669) = 5504599
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FAQs on GCF of Fractions of 5480/971, 6860/5669
1. What is the HCF of 5480,6860?
The HCF of 5480,6860 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 5480/971, 6860/5669?
Answer: GCF of Numerators as per given numbers 5480/971, 6860/5669 is
GCF of Numerators i.e. for 5480,6860 is 20
LCM of denominators i.e. for 971,5669 is 5504599.
Thus, GCF of Fractions is 20/5504599.Finally, GCF of Fractions for 5480/971, 6860/5669 is 20/5504599.