GCF of 1684/937, 9870/629
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1684/937, 9870/629 i.e 2/589373 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1684/937, 9870/629.
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 1684/937,9870/629?
Given fractions are 1684/937,9870/629
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 1684/937,9870/629, numerators are 1684,9870
Denominators are 937,629
The GCF of 1684,9870 is 2 .
LCM of 937,629 is 589373.
The greatest common factor of 1684/937,9870/629 = [GCF of 1684,9870]/[LCM of 937,629]= 2/589373
Therefore, the GCF of 1684/937,9870/629 is 2/589373.
To find the highest common factor of 1684,9870, we have to find the factors of both numbers and list the highest common factor.
The factors of 1684 are 1, 2, 4, 421, 842, 1684
The factors of 9870 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 47, 70, 94, 105, 141, 210, 235, 282, 329, 470, 658, 705, 987, 1410, 1645, 1974, 3290, 4935, 9870
The HCF of 1684,9870 is 2.
Lets's calculate GCF of 1684,9870
| 2 | 1684, 9870 |
| 842, 4935 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1684,9870 By Matching Biggest Common Factor Method
Now, list down the factors of 1684
:1,2,4,421,842,1684
Now, list down the factors of 9870
:1,2,3,5,6,7,10,14,15,21,30,35,42,47,70,94,105,141,210,235,282,329,470,658,705,987,1410,1645,1974,3290,4935,9870
Greatest Common Factor
We found the factors 1684,9870 . The biggest common factor number is the GCF number.
So the greatest common factor 1684,9870 is 2.
Lets's calculate LCM of 937,629
Given numbers has no common factors except 1. So, there LCM is their product i.e 589373
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/589373
Therefore, the GCF of Fractions 1684/937,9870/629 is 2/589373
Least Common Multiple of 937,629 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 937,629 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(937,629) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(937,629) x common factors =1 x 1 = 1
LCM(937,629) = ( 937 × 629 ) / 1
LCM(937,629) = 589373 / 1
LCM(937,629) = 589373
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FAQs on GCF of Fractions of 1684/937, 9870/629
1. What is the HCF of 1684,9870?
The HCF of 1684,9870 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 1684/937, 9870/629?
Answer: GCF of Numerators as per given numbers 1684/937, 9870/629 is
GCF of Numerators i.e. for 1684,9870 is 2
LCM of denominators i.e. for 937,629 is 589373.
Thus, GCF of Fractions is 2/589373.Finally, GCF of Fractions for 1684/937, 9870/629 is 2/589373.