GCF of 6520/802, 5530/863
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6520/802, 5530/863 i.e 10/692126 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6520/802, 5530/863.
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 6520/802,5530/863?
Given fractions are 6520/802,5530/863
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 6520/802,5530/863, numerators are 6520,5530
Denominators are 802,863
The GCF of 6520,5530 is 10 .
LCM of 802,863 is 692126.
The greatest common factor of 6520/802,5530/863 = [GCF of 6520,5530]/[LCM of 802,863]= 10/692126
Therefore, the GCF of 6520/802,5530/863 is 10/692126.
To find the highest common factor of 6520,5530, we have to find the factors of both numbers and list the highest common factor.
The factors of 6520 are 1, 2, 4, 5, 8, 10, 20, 40, 163, 326, 652, 815, 1304, 1630, 3260, 6520
The factors of 5530 are 1, 2, 5, 7, 10, 14, 35, 70, 79, 158, 395, 553, 790, 1106, 2765, 5530
The HCF of 6520,5530 is 10.
Lets's calculate GCF of 6520,5530
| 2 | 6520, 5530 |
| 5 | 3260, 2765 |
| 652, 553 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 6520,5530 By Matching Biggest Common Factor Method
Now, list down the factors of 6520
:1,2,4,5,8,10,20,40,163,326,652,815,1304,1630,3260,6520
Now, list down the factors of 5530
:1,2,5,7,10,14,35,70,79,158,395,553,790,1106,2765,5530
Greatest Common Factor
We found the factors 6520,5530 . The biggest common factor number is the GCF number.
So the greatest common factor 6520,5530 is 10.
Lets's calculate LCM of 802,863
Given numbers has no common factors except 1. So, there LCM is their product i.e 692126
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/692126
Therefore, the GCF of Fractions 6520/802,5530/863 is 10/692126
Least Common Multiple of 802,863 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 802,863 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(802,863) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(802,863) x common factors =1 x 1 = 1
LCM(802,863) = ( 802 × 863 ) / 1
LCM(802,863) = 692126 / 1
LCM(802,863) = 692126
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FAQs on GCF of Fractions of 6520/802, 5530/863
1. What is the HCF of 6520,5530?
The HCF of 6520,5530 is 10
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 6520/802, 5530/863?
Answer: GCF of Numerators as per given numbers 6520/802, 5530/863 is
GCF of Numerators i.e. for 6520,5530 is 10
LCM of denominators i.e. for 802,863 is 692126.
Thus, GCF of Fractions is 10/692126.Finally, GCF of Fractions for 6520/802, 5530/863 is 10/692126.