GCF of 1841/302, 7345/680
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1841/302, 7345/680 i.e 1/102680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1841/302, 7345/680.
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 1841/302,7345/680?
Given fractions are 1841/302,7345/680
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 1841/302,7345/680, numerators are 1841,7345
Denominators are 302,680
The GCF of 1841,7345 is 1 .
LCM of 302,680 is 102680.
The greatest common factor of 1841/302,7345/680 = [GCF of 1841,7345]/[LCM of 302,680]= 1/102680
Therefore, the GCF of 1841/302,7345/680 is 1/102680.
To find the highest common factor of 1841,7345, we have to find the factors of both numbers and list the highest common factor.
The factors of 1841 are 1, 7, 263, 1841
The factors of 7345 are 1, 5, 13, 65, 113, 565, 1469, 7345
The HCF of 1841,7345 is 1.
Lets's calculate GCF of 1841,7345
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1841,7345 By Matching Biggest Common Factor Method
Now, list down the factors of 1841
:1,7,263,1841
Now, list down the factors of 7345
:1,5,13,65,113,565,1469,7345
Greatest Common Factor
We found the factors 1841,7345 . The biggest common factor number is the GCF number.
So the greatest common factor 1841,7345 is 1.
Lets's calculate LCM of 302,680
| 2 | 302, 680 |
| 151, 340 |
∴ So the LCM of the given numbers is 2 x 151 x 340 = 102680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/102680
Therefore, the GCF of Fractions 1841/302,7345/680 is 1/102680
Least Common Multiple of 302,680 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 302,680 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(302,680) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(302,680) x common factors =2 x 1 = 2
LCM(302,680) = ( 302 × 680 ) / 2
LCM(302,680) = 205360 / 2
LCM(302,680) = 102680
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FAQs on GCF of Fractions of 1841/302, 7345/680
1. What is the HCF of 1841,7345?
The HCF of 1841,7345 is 1
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 1841/302, 7345/680?
Answer: GCF of Numerators as per given numbers 1841/302, 7345/680 is
GCF of Numerators i.e. for 1841,7345 is 1
LCM of denominators i.e. for 302,680 is 102680.
Thus, GCF of Fractions is 1/102680.Finally, GCF of Fractions for 1841/302, 7345/680 is 1/102680.