GCF of 5130/364, 6758/8380
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5130/364, 6758/8380 i.e 2/762580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5130/364, 6758/8380.
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 5130/364,6758/8380?
Given fractions are 5130/364,6758/8380
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 5130/364,6758/8380, numerators are 5130,6758
Denominators are 364,8380
The GCF of 5130,6758 is 2 .
LCM of 364,8380 is 762580.
The greatest common factor of 5130/364,6758/8380 = [GCF of 5130,6758]/[LCM of 364,8380]= 2/762580
Therefore, the GCF of 5130/364,6758/8380 is 2/762580.
To find the highest common factor of 5130,6758, we have to find the factors of both numbers and list the highest common factor.
The factors of 5130 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 19, 27, 30, 38, 45, 54, 57, 90, 95, 114, 135, 171, 190, 270, 285, 342, 513, 570, 855, 1026, 1710, 2565, 5130
The factors of 6758 are 1, 2, 31, 62, 109, 218, 3379, 6758
The HCF of 5130,6758 is 2.
Lets's calculate GCF of 5130,6758
| 2 | 5130, 6758 |
| 2565, 3379 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5130,6758 By Matching Biggest Common Factor Method
Now, list down the factors of 5130
:1,2,3,5,6,9,10,15,18,19,27,30,38,45,54,57,90,95,114,135,171,190,270,285,342,513,570,855,1026,1710,2565,5130
Now, list down the factors of 6758
:1,2,31,62,109,218,3379,6758
Greatest Common Factor
We found the factors 5130,6758 . The biggest common factor number is the GCF number.
So the greatest common factor 5130,6758 is 2.
Lets's calculate LCM of 364,8380
| 2 | 364, 8380 |
| 2 | 182, 4190 |
| 91, 2095 |
∴ So the LCM of the given numbers is 2 x 2 x 91 x 2095 = 762580
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/762580
Therefore, the GCF of Fractions 5130/364,6758/8380 is 2/762580
Least Common Multiple of 364,8380 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 364,8380 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(364,8380) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(364,8380) x common factors =4 x 1 = 4
LCM(364,8380) = ( 364 × 8380 ) / 4
LCM(364,8380) = 3050320 / 4
LCM(364,8380) = 762580
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FAQs on GCF of Fractions of 5130/364, 6758/8380
1. What is the HCF of 5130,6758?
The HCF of 5130,6758 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 5130/364, 6758/8380?
Answer: GCF of Numerators as per given numbers 5130/364, 6758/8380 is
GCF of Numerators i.e. for 5130,6758 is 2
LCM of denominators i.e. for 364,8380 is 762580.
Thus, GCF of Fractions is 2/762580.Finally, GCF of Fractions for 5130/364, 6758/8380 is 2/762580.