GCF of 1170/329, 5880/6435
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1170/329, 5880/6435 i.e 30/2117115 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1170/329, 5880/6435.
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 1170/329,5880/6435?
Given fractions are 1170/329,5880/6435
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 1170/329,5880/6435, numerators are 1170,5880
Denominators are 329,6435
The GCF of 1170,5880 is 30 .
LCM of 329,6435 is 2117115.
The greatest common factor of 1170/329,5880/6435 = [GCF of 1170,5880]/[LCM of 329,6435]= 30/2117115
Therefore, the GCF of 1170/329,5880/6435 is 30/2117115.
To find the highest common factor of 1170,5880, we have to find the factors of both numbers and list the highest common factor.
The factors of 1170 are 1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 30, 39, 45, 65, 78, 90, 117, 130, 195, 234, 390, 585, 1170
The factors of 5880 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 49, 56, 60, 70, 84, 98, 105, 120, 140, 147, 168, 196, 210, 245, 280, 294, 392, 420, 490, 588, 735, 840, 980, 1176, 1470, 1960, 2940, 5880
The HCF of 1170,5880 is 30.
Lets's calculate GCF of 1170,5880
| 2 | 1170, 5880 |
| 3 | 585, 2940 |
| 5 | 195, 980 |
| 39, 196 |
∴ So the GCF of the given numbers is 2 x 3 x 5 = 30
Greatest Common Factor of 1170,5880 By Matching Biggest Common Factor Method
Now, list down the factors of 1170
:1,2,3,5,6,9,10,13,15,18,26,30,39,45,65,78,90,117,130,195,234,390,585,1170
Now, list down the factors of 5880
:1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,49,56,60,70,84,98,105,120,140,147,168,196,210,245,280,294,392,420,490,588,735,840,980,1176,1470,1960,2940,5880
Greatest Common Factor
We found the factors 1170,5880 . The biggest common factor number is the GCF number.
So the greatest common factor 1170,5880 is 30.
Lets's calculate LCM of 329,6435
Given numbers has no common factors except 1. So, there LCM is their product i.e 2117115
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 30/2117115
Therefore, the GCF of Fractions 1170/329,5880/6435 is 30/2117115
Least Common Multiple of 329,6435 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 329,6435 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(329,6435) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(329,6435) x common factors =1 x 1 = 1
LCM(329,6435) = ( 329 × 6435 ) / 1
LCM(329,6435) = 2117115 / 1
LCM(329,6435) = 2117115
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FAQs on GCF of Fractions of 1170/329, 5880/6435
1. What is the HCF of 1170,5880?
The HCF of 1170,5880 is 30
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 1170/329, 5880/6435?
Answer: GCF of Numerators as per given numbers 1170/329, 5880/6435 is
GCF of Numerators i.e. for 1170,5880 is 30
LCM of denominators i.e. for 329,6435 is 2117115.
Thus, GCF of Fractions is 30/2117115.Finally, GCF of Fractions for 1170/329, 5880/6435 is 30/2117115.