GCF of 1370/418, 8370/551
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1370/418, 8370/551 i.e 10/12122 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1370/418, 8370/551.
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 1370/418,8370/551?
Given fractions are 1370/418,8370/551
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 1370/418,8370/551, numerators are 1370,8370
Denominators are 418,551
The GCF of 1370,8370 is 10 .
LCM of 418,551 is 12122.
The greatest common factor of 1370/418,8370/551 = [GCF of 1370,8370]/[LCM of 418,551]= 10/12122
Therefore, the GCF of 1370/418,8370/551 is 10/12122.
To find the highest common factor of 1370,8370, we have to find the factors of both numbers and list the highest common factor.
The factors of 1370 are 1, 2, 5, 10, 137, 274, 685, 1370
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 HCF of 1370,8370 is 10.
Lets's calculate GCF of 1370,8370
| 2 | 1370, 8370 |
| 5 | 685, 4185 |
| 137, 837 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 1370,8370 By Matching Biggest Common Factor Method
Now, list down the factors of 1370
:1,2,5,10,137,274,685,1370
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
Greatest Common Factor
We found the factors 1370,8370 . The biggest common factor number is the GCF number.
So the greatest common factor 1370,8370 is 10.
Lets's calculate LCM of 418,551
| 19 | 418, 551 |
| 22, 29 |
∴ So the LCM of the given numbers is 19 x 22 x 29 = 12122
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/12122
Therefore, the GCF of Fractions 1370/418,8370/551 is 10/12122
Least Common Multiple of 418,551 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 418,551 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(418,551) = 19
common factors(in case of two or more numbers have common factors) = 1
GCF(418,551) x common factors =19 x 1 = 19
LCM(418,551) = ( 418 × 551 ) / 19
LCM(418,551) = 230318 / 19
LCM(418,551) = 12122
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FAQs on GCF of Fractions of 1370/418, 8370/551
1. What is the HCF of 1370,8370?
The HCF of 1370,8370 is 10
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 1370/418, 8370/551?
Answer: GCF of Numerators as per given numbers 1370/418, 8370/551 is
GCF of Numerators i.e. for 1370,8370 is 10
LCM of denominators i.e. for 418,551 is 12122.
Thus, GCF of Fractions is 10/12122.Finally, GCF of Fractions for 1370/418, 8370/551 is 10/12122.