GCF of 5530/513, 8260/132
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5530/513, 8260/132 i.e 70/22572 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5530/513, 8260/132.
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 5530/513,8260/132?
Given fractions are 5530/513,8260/132
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 5530/513,8260/132, numerators are 5530,8260
Denominators are 513,132
The GCF of 5530,8260 is 70 .
LCM of 513,132 is 22572.
The greatest common factor of 5530/513,8260/132 = [GCF of 5530,8260]/[LCM of 513,132]= 70/22572
Therefore, the GCF of 5530/513,8260/132 is 70/22572.
To find the highest common factor of 5530,8260, we have to find the factors of both numbers and list the highest common factor.
The factors of 5530 are 1, 2, 5, 7, 10, 14, 35, 70, 79, 158, 395, 553, 790, 1106, 2765, 5530
The factors of 8260 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 59, 70, 118, 140, 236, 295, 413, 590, 826, 1180, 1652, 2065, 4130, 8260
The HCF of 5530,8260 is 70.
Lets's calculate GCF of 5530,8260
| 2 | 5530, 8260 |
| 5 | 2765, 4130 |
| 7 | 553, 826 |
| 79, 118 |
∴ So the GCF of the given numbers is 2 x 5 x 7 = 70
Greatest Common Factor of 5530,8260 By Matching Biggest Common Factor Method
Now, list down the factors of 5530
:1,2,5,7,10,14,35,70,79,158,395,553,790,1106,2765,5530
Now, list down the factors of 8260
:1,2,4,5,7,10,14,20,28,35,59,70,118,140,236,295,413,590,826,1180,1652,2065,4130,8260
Greatest Common Factor
We found the factors 5530,8260 . The biggest common factor number is the GCF number.
So the greatest common factor 5530,8260 is 70.
Lets's calculate LCM of 513,132
| 3 | 513, 132 |
| 171, 44 |
∴ So the LCM of the given numbers is 3 x 171 x 44 = 22572
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 70/22572
Therefore, the GCF of Fractions 5530/513,8260/132 is 70/22572
Least Common Multiple of 513,132 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 513,132 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(513,132) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(513,132) x common factors =3 x 1 = 3
LCM(513,132) = ( 513 × 132 ) / 3
LCM(513,132) = 67716 / 3
LCM(513,132) = 22572
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FAQs on GCF of Fractions of 5530/513, 8260/132
1. What is the HCF of 5530,8260?
The HCF of 5530,8260 is 70
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 5530/513, 8260/132?
Answer: GCF of Numerators as per given numbers 5530/513, 8260/132 is
GCF of Numerators i.e. for 5530,8260 is 70
LCM of denominators i.e. for 513,132 is 22572.
Thus, GCF of Fractions is 70/22572.Finally, GCF of Fractions for 5530/513, 8260/132 is 70/22572.