GCF of 1692/237, 3098/322
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1692/237, 3098/322 i.e 2/76314 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1692/237, 3098/322.
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 1692/237,3098/322?
Given fractions are 1692/237,3098/322
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 1692/237,3098/322, numerators are 1692,3098
Denominators are 237,322
The GCF of 1692,3098 is 2 .
LCM of 237,322 is 76314.
The greatest common factor of 1692/237,3098/322 = [GCF of 1692,3098]/[LCM of 237,322]= 2/76314
Therefore, the GCF of 1692/237,3098/322 is 2/76314.
To find the highest common factor of 1692,3098, we have to find the factors of both numbers and list the highest common factor.
The factors of 1692 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 47, 94, 141, 188, 282, 423, 564, 846, 1692
The factors of 3098 are 1, 2, 1549, 3098
The HCF of 1692,3098 is 2.
Lets's calculate GCF of 1692,3098
| 2 | 1692, 3098 |
| 846, 1549 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1692,3098 By Matching Biggest Common Factor Method
Now, list down the factors of 1692
:1,2,3,4,6,9,12,18,36,47,94,141,188,282,423,564,846,1692
Now, list down the factors of 3098
:1,2,1549,3098
Greatest Common Factor
We found the factors 1692,3098 . The biggest common factor number is the GCF number.
So the greatest common factor 1692,3098 is 2.
Lets's calculate LCM of 237,322
Given numbers has no common factors except 1. So, there LCM is their product i.e 76314
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/76314
Therefore, the GCF of Fractions 1692/237,3098/322 is 2/76314
Least Common Multiple of 237,322 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 237,322 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(237,322) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(237,322) x common factors =1 x 1 = 1
LCM(237,322) = ( 237 × 322 ) / 1
LCM(237,322) = 76314 / 1
LCM(237,322) = 76314
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FAQs on GCF of Fractions of 1692/237, 3098/322
1. What is the HCF of 1692,3098?
The HCF of 1692,3098 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 1692/237, 3098/322?
Answer: GCF of Numerators as per given numbers 1692/237, 3098/322 is
GCF of Numerators i.e. for 1692,3098 is 2
LCM of denominators i.e. for 237,322 is 76314.
Thus, GCF of Fractions is 2/76314.Finally, GCF of Fractions for 1692/237, 3098/322 is 2/76314.