GCF of 8370/617, 3564/1672
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8370/617, 3564/1672 i.e 54/1031624 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8370/617, 3564/1672.
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 8370/617,3564/1672?
Given fractions are 8370/617,3564/1672
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 8370/617,3564/1672, numerators are 8370,3564
Denominators are 617,1672
The GCF of 8370,3564 is 54 .
LCM of 617,1672 is 1031624.
The greatest common factor of 8370/617,3564/1672 = [GCF of 8370,3564]/[LCM of 617,1672]= 54/1031624
Therefore, the GCF of 8370/617,3564/1672 is 54/1031624.
To find the highest common factor of 8370,3564, we have to find the factors of both numbers and list the highest common factor.
The factors of 8370 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 31, 45, 54, 62, 90, 93, 135, 155, 186, 270, 279, 310, 465, 558, 837, 930, 1395, 1674, 2790, 4185, 8370
The factors of 3564 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 66, 81, 99, 108, 132, 162, 198, 297, 324, 396, 594, 891, 1188, 1782, 3564
The HCF of 8370,3564 is 54.
Lets's calculate GCF of 8370,3564
| 2 | 8370, 3564 |
| 3 | 4185, 1782 |
| 3 | 1395, 594 |
| 3 | 465, 198 |
| 155, 66 |
∴ So the GCF of the given numbers is 2 x 3 x 3 x 3 = 54
Greatest Common Factor of 8370,3564 By Matching Biggest Common Factor Method
Now, list down the factors of 8370
:1,2,3,5,6,9,10,15,18,27,30,31,45,54,62,90,93,135,155,186,270,279,310,465,558,837,930,1395,1674,2790,4185,8370
Now, list down the factors of 3564
:1,2,3,4,6,9,11,12,18,22,27,33,36,44,54,66,81,99,108,132,162,198,297,324,396,594,891,1188,1782,3564
Greatest Common Factor
We found the factors 8370,3564 . The biggest common factor number is the GCF number.
So the greatest common factor 8370,3564 is 54.
Lets's calculate LCM of 617,1672
Given numbers has no common factors except 1. So, there LCM is their product i.e 1031624
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 54/1031624
Therefore, the GCF of Fractions 8370/617,3564/1672 is 54/1031624
Least Common Multiple of 617,1672 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 617,1672 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(617,1672) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(617,1672) x common factors =1 x 1 = 1
LCM(617,1672) = ( 617 × 1672 ) / 1
LCM(617,1672) = 1031624 / 1
LCM(617,1672) = 1031624
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FAQs on GCF of Fractions of 8370/617, 3564/1672
1. What is the HCF of 8370,3564?
The HCF of 8370,3564 is 54
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 8370/617, 3564/1672?
Answer: GCF of Numerators as per given numbers 8370/617, 3564/1672 is
GCF of Numerators i.e. for 8370,3564 is 54
LCM of denominators i.e. for 617,1672 is 1031624.
Thus, GCF of Fractions is 54/1031624.Finally, GCF of Fractions for 8370/617, 3564/1672 is 54/1031624.