GCF of 5070/549, 8703/927
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5070/549, 8703/927 i.e 3/56547 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5070/549, 8703/927.
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 5070/549,8703/927?
Given fractions are 5070/549,8703/927
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 5070/549,8703/927, numerators are 5070,8703
Denominators are 549,927
The GCF of 5070,8703 is 3 .
LCM of 549,927 is 56547.
The greatest common factor of 5070/549,8703/927 = [GCF of 5070,8703]/[LCM of 549,927]= 3/56547
Therefore, the GCF of 5070/549,8703/927 is 3/56547.
To find the highest common factor of 5070,8703, we have to find the factors of both numbers and list the highest common factor.
The factors of 5070 are 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 169, 195, 338, 390, 507, 845, 1014, 1690, 2535, 5070
The factors of 8703 are 1, 3, 9, 967, 2901, 8703
The HCF of 5070,8703 is 3.
Lets's calculate GCF of 5070,8703
| 3 | 5070, 8703 |
| 1690, 2901 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5070,8703 By Matching Biggest Common Factor Method
Now, list down the factors of 5070
:1,2,3,5,6,10,13,15,26,30,39,65,78,130,169,195,338,390,507,845,1014,1690,2535,5070
Now, list down the factors of 8703
:1,3,9,967,2901,8703
Greatest Common Factor
We found the factors 5070,8703 . The biggest common factor number is the GCF number.
So the greatest common factor 5070,8703 is 3.
Lets's calculate LCM of 549,927
| 3 | 549, 927 |
| 3 | 183, 309 |
| 61, 103 |
∴ So the LCM of the given numbers is 3 x 3 x 61 x 103 = 56547
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/56547
Therefore, the GCF of Fractions 5070/549,8703/927 is 3/56547
Least Common Multiple of 549,927 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 549,927 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(549,927) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(549,927) x common factors =9 x 1 = 9
LCM(549,927) = ( 549 × 927 ) / 9
LCM(549,927) = 508923 / 9
LCM(549,927) = 56547
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FAQs on GCF of Fractions of 5070/549, 8703/927
1. What is the HCF of 5070,8703?
The HCF of 5070,8703 is 3
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 5070/549, 8703/927?
Answer: GCF of Numerators as per given numbers 5070/549, 8703/927 is
GCF of Numerators i.e. for 5070,8703 is 3
LCM of denominators i.e. for 549,927 is 56547.
Thus, GCF of Fractions is 3/56547.Finally, GCF of Fractions for 5070/549, 8703/927 is 3/56547.