GCF of 3781/698, 1722/206
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3781/698, 1722/206 i.e 1/71894 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3781/698, 1722/206.
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 3781/698,1722/206?
Given fractions are 3781/698,1722/206
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 3781/698,1722/206, numerators are 3781,1722
Denominators are 698,206
The GCF of 3781,1722 is 1 .
LCM of 698,206 is 71894.
The greatest common factor of 3781/698,1722/206 = [GCF of 3781,1722]/[LCM of 698,206]= 1/71894
Therefore, the GCF of 3781/698,1722/206 is 1/71894.
To find the highest common factor of 3781,1722, we have to find the factors of both numbers and list the highest common factor.
The factors of 3781 are 1, 19, 199, 3781
The factors of 1722 are 1, 2, 3, 6, 7, 14, 21, 41, 42, 82, 123, 246, 287, 574, 861, 1722
The HCF of 3781,1722 is 1.
Lets's calculate GCF of 3781,1722
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3781,1722 By Matching Biggest Common Factor Method
Now, list down the factors of 3781
:1,19,199,3781
Now, list down the factors of 1722
:1,2,3,6,7,14,21,41,42,82,123,246,287,574,861,1722
Greatest Common Factor
We found the factors 3781,1722 . The biggest common factor number is the GCF number.
So the greatest common factor 3781,1722 is 1.
Lets's calculate LCM of 698,206
| 2 | 698, 206 |
| 349, 103 |
∴ So the LCM of the given numbers is 2 x 349 x 103 = 71894
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/71894
Therefore, the GCF of Fractions 3781/698,1722/206 is 1/71894
Least Common Multiple of 698,206 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 698,206 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(698,206) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(698,206) x common factors =2 x 1 = 2
LCM(698,206) = ( 698 × 206 ) / 2
LCM(698,206) = 143788 / 2
LCM(698,206) = 71894
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FAQs on GCF of Fractions of 3781/698, 1722/206
1. What is the HCF of 3781,1722?
The HCF of 3781,1722 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 3781/698, 1722/206?
Answer: GCF of Numerators as per given numbers 3781/698, 1722/206 is
GCF of Numerators i.e. for 3781,1722 is 1
LCM of denominators i.e. for 698,206 is 71894.
Thus, GCF of Fractions is 1/71894.Finally, GCF of Fractions for 3781/698, 1722/206 is 1/71894.