GCF of 8970/135, 1356/470
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8970/135, 1356/470 i.e 6/12690 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8970/135, 1356/470.
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 8970/135,1356/470?
Given fractions are 8970/135,1356/470
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 8970/135,1356/470, numerators are 8970,1356
Denominators are 135,470
The GCF of 8970,1356 is 6 .
LCM of 135,470 is 12690.
The greatest common factor of 8970/135,1356/470 = [GCF of 8970,1356]/[LCM of 135,470]= 6/12690
Therefore, the GCF of 8970/135,1356/470 is 6/12690.
To find the highest common factor of 8970,1356, we have to find the factors of both numbers and list the highest common factor.
The factors of 8970 are 1, 2, 3, 5, 6, 10, 13, 15, 23, 26, 30, 39, 46, 65, 69, 78, 115, 130, 138, 195, 230, 299, 345, 390, 598, 690, 897, 1495, 1794, 2990, 4485, 8970
The factors of 1356 are 1, 2, 3, 4, 6, 12, 113, 226, 339, 452, 678, 1356
The HCF of 8970,1356 is 6.
Lets's calculate GCF of 8970,1356
| 2 | 8970, 1356 |
| 3 | 4485, 678 |
| 1495, 226 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 8970,1356 By Matching Biggest Common Factor Method
Now, list down the factors of 8970
:1,2,3,5,6,10,13,15,23,26,30,39,46,65,69,78,115,130,138,195,230,299,345,390,598,690,897,1495,1794,2990,4485,8970
Now, list down the factors of 1356
:1,2,3,4,6,12,113,226,339,452,678,1356
Greatest Common Factor
We found the factors 8970,1356 . The biggest common factor number is the GCF number.
So the greatest common factor 8970,1356 is 6.
Lets's calculate LCM of 135,470
| 5 | 135, 470 |
| 27, 94 |
∴ So the LCM of the given numbers is 5 x 27 x 94 = 12690
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/12690
Therefore, the GCF of Fractions 8970/135,1356/470 is 6/12690
Least Common Multiple of 135,470 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 135,470 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(135,470) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(135,470) x common factors =5 x 1 = 5
LCM(135,470) = ( 135 × 470 ) / 5
LCM(135,470) = 63450 / 5
LCM(135,470) = 12690
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FAQs on GCF of Fractions of 8970/135, 1356/470
1. What is the HCF of 8970,1356?
The HCF of 8970,1356 is 6
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 8970/135, 1356/470?
Answer: GCF of Numerators as per given numbers 8970/135, 1356/470 is
GCF of Numerators i.e. for 8970,1356 is 6
LCM of denominators i.e. for 135,470 is 12690.
Thus, GCF of Fractions is 6/12690.Finally, GCF of Fractions for 8970/135, 1356/470 is 6/12690.