GCF of 1379/476, 4221/3146
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1379/476, 4221/3146 i.e 7/748748 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1379/476, 4221/3146.
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 1379/476,4221/3146?
Given fractions are 1379/476,4221/3146
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 1379/476,4221/3146, numerators are 1379,4221
Denominators are 476,3146
The GCF of 1379,4221 is 7 .
LCM of 476,3146 is 748748.
The greatest common factor of 1379/476,4221/3146 = [GCF of 1379,4221]/[LCM of 476,3146]= 7/748748
Therefore, the GCF of 1379/476,4221/3146 is 7/748748.
To find the highest common factor of 1379,4221, we have to find the factors of both numbers and list the highest common factor.
The factors of 1379 are 1, 7, 197, 1379
The factors of 4221 are 1, 3, 7, 9, 21, 63, 67, 201, 469, 603, 1407, 4221
The HCF of 1379,4221 is 7.
Lets's calculate GCF of 1379,4221
| 7 | 1379, 4221 |
| 197, 603 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 1379,4221 By Matching Biggest Common Factor Method
Now, list down the factors of 1379
:1,7,197,1379
Now, list down the factors of 4221
:1,3,7,9,21,63,67,201,469,603,1407,4221
Greatest Common Factor
We found the factors 1379,4221 . The biggest common factor number is the GCF number.
So the greatest common factor 1379,4221 is 7.
Lets's calculate LCM of 476,3146
| 2 | 476, 3146 |
| 238, 1573 |
∴ So the LCM of the given numbers is 2 x 238 x 1573 = 748748
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/748748
Therefore, the GCF of Fractions 1379/476,4221/3146 is 7/748748
Least Common Multiple of 476,3146 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 476,3146 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(476,3146) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(476,3146) x common factors =2 x 1 = 2
LCM(476,3146) = ( 476 × 3146 ) / 2
LCM(476,3146) = 1497496 / 2
LCM(476,3146) = 748748
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FAQs on GCF of Fractions of 1379/476, 4221/3146
1. What is the HCF of 1379,4221?
The HCF of 1379,4221 is 7
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 1379/476, 4221/3146?
Answer: GCF of Numerators as per given numbers 1379/476, 4221/3146 is
GCF of Numerators i.e. for 1379,4221 is 7
LCM of denominators i.e. for 476,3146 is 748748.
Thus, GCF of Fractions is 7/748748.Finally, GCF of Fractions for 1379/476, 4221/3146 is 7/748748.