GCF of 1703/820, 4211/362
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1703/820, 4211/362 i.e 1/148420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1703/820, 4211/362.
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 1703/820,4211/362?
Given fractions are 1703/820,4211/362
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 1703/820,4211/362, numerators are 1703,4211
Denominators are 820,362
The GCF of 1703,4211 is 1 .
LCM of 820,362 is 148420.
The greatest common factor of 1703/820,4211/362 = [GCF of 1703,4211]/[LCM of 820,362]= 1/148420
Therefore, the GCF of 1703/820,4211/362 is 1/148420.
To find the highest common factor of 1703,4211, we have to find the factors of both numbers and list the highest common factor.
The factors of 1703 are 1, 13, 131, 1703
The factors of 4211 are 1, 4211
The HCF of 1703,4211 is 1.
Lets's calculate GCF of 1703,4211
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1703,4211 By Matching Biggest Common Factor Method
Now, list down the factors of 1703
:1,13,131,1703
Now, list down the factors of 4211
:1,4211
Greatest Common Factor
We found the factors 1703,4211 . The biggest common factor number is the GCF number.
So the greatest common factor 1703,4211 is 1.
Lets's calculate LCM of 820,362
| 2 | 820, 362 |
| 410, 181 |
∴ So the LCM of the given numbers is 2 x 410 x 181 = 148420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/148420
Therefore, the GCF of Fractions 1703/820,4211/362 is 1/148420
Least Common Multiple of 820,362 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 820,362 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(820,362) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(820,362) x common factors =2 x 1 = 2
LCM(820,362) = ( 820 × 362 ) / 2
LCM(820,362) = 296840 / 2
LCM(820,362) = 148420
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FAQs on GCF of Fractions of 1703/820, 4211/362
1. What is the HCF of 1703,4211?
The HCF of 1703,4211 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 1703/820, 4211/362?
Answer: GCF of Numerators as per given numbers 1703/820, 4211/362 is
GCF of Numerators i.e. for 1703,4211 is 1
LCM of denominators i.e. for 820,362 is 148420.
Thus, GCF of Fractions is 1/148420.Finally, GCF of Fractions for 1703/820, 4211/362 is 1/148420.