GCF of 332/74, 714/1830
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 332/74, 714/1830 i.e 2/67710 easily. The following is the detailed procedure to determine the greatest common factor of fractions 332/74, 714/1830.
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 332/74,714/1830?
Given fractions are 332/74,714/1830
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 332/74,714/1830, numerators are 332,714
Denominators are 74,1830
The GCF of 332,714 is 2 .
LCM of 74,1830 is 67710.
The greatest common factor of 332/74,714/1830 = [GCF of 332,714]/[LCM of 74,1830]= 2/67710
Therefore, the GCF of 332/74,714/1830 is 2/67710.
To find the highest common factor of 332,714, we have to find the factors of both numbers and list the highest common factor.
The factors of 332 are 1, 2, 4, 83, 166, 332
The factors of 714 are 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
The HCF of 332,714 is 2.
Lets's calculate GCF of 332,714
| 2 | 332, 714 |
| 166, 357 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 332,714 By Matching Biggest Common Factor Method
Now, list down the factors of 332
:1,2,4,83,166,332
Now, list down the factors of 714
:1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714
Greatest Common Factor
We found the factors 332,714 . The biggest common factor number is the GCF number.
So the greatest common factor 332,714 is 2.
Lets's calculate LCM of 74,1830
| 2 | 74, 1830 |
| 37, 915 |
∴ So the LCM of the given numbers is 2 x 37 x 915 = 67710
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/67710
Therefore, the GCF of Fractions 332/74,714/1830 is 2/67710
Least Common Multiple of 74,1830 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 74,1830 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,1830) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(74,1830) x common factors =2 x 1 = 2
LCM(74,1830) = ( 74 × 1830 ) / 2
LCM(74,1830) = 135420 / 2
LCM(74,1830) = 67710
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FAQs on GCF of Fractions of 332/74, 714/1830
1. What is the HCF of 332,714?
The HCF of 332,714 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 332/74, 714/1830?
Answer: GCF of Numerators as per given numbers 332/74, 714/1830 is
GCF of Numerators i.e. for 332,714 is 2
LCM of denominators i.e. for 74,1830 is 67710.
Thus, GCF of Fractions is 2/67710.Finally, GCF of Fractions for 332/74, 714/1830 is 2/67710.