GCF of 6534/520, 8540/1423
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6534/520, 8540/1423 i.e 2/739960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6534/520, 8540/1423.
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 6534/520,8540/1423?
Given fractions are 6534/520,8540/1423
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 6534/520,8540/1423, numerators are 6534,8540
Denominators are 520,1423
The GCF of 6534,8540 is 2 .
LCM of 520,1423 is 739960.
The greatest common factor of 6534/520,8540/1423 = [GCF of 6534,8540]/[LCM of 520,1423]= 2/739960
Therefore, the GCF of 6534/520,8540/1423 is 2/739960.
To find the highest common factor of 6534,8540, we have to find the factors of both numbers and list the highest common factor.
The factors of 6534 are 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 121, 198, 242, 297, 363, 594, 726, 1089, 2178, 3267, 6534
The factors of 8540 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 61, 70, 122, 140, 244, 305, 427, 610, 854, 1220, 1708, 2135, 4270, 8540
The HCF of 6534,8540 is 2.
Lets's calculate GCF of 6534,8540
| 2 | 6534, 8540 |
| 3267, 4270 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6534,8540 By Matching Biggest Common Factor Method
Now, list down the factors of 6534
:1,2,3,6,9,11,18,22,27,33,54,66,99,121,198,242,297,363,594,726,1089,2178,3267,6534
Now, list down the factors of 8540
:1,2,4,5,7,10,14,20,28,35,61,70,122,140,244,305,427,610,854,1220,1708,2135,4270,8540
Greatest Common Factor
We found the factors 6534,8540 . The biggest common factor number is the GCF number.
So the greatest common factor 6534,8540 is 2.
Lets's calculate LCM of 520,1423
Given numbers has no common factors except 1. So, there LCM is their product i.e 739960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/739960
Therefore, the GCF of Fractions 6534/520,8540/1423 is 2/739960
Least Common Multiple of 520,1423 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 520,1423 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(520,1423) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(520,1423) x common factors =1 x 1 = 1
LCM(520,1423) = ( 520 × 1423 ) / 1
LCM(520,1423) = 739960 / 1
LCM(520,1423) = 739960
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FAQs on GCF of Fractions of 6534/520, 8540/1423
1. What is the HCF of 6534,8540?
The HCF of 6534,8540 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 6534/520, 8540/1423?
Answer: GCF of Numerators as per given numbers 6534/520, 8540/1423 is
GCF of Numerators i.e. for 6534,8540 is 2
LCM of denominators i.e. for 520,1423 is 739960.
Thus, GCF of Fractions is 2/739960.Finally, GCF of Fractions for 6534/520, 8540/1423 is 2/739960.