GCF of 1382/492, 8456/2141
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1382/492, 8456/2141 i.e 2/1053372 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1382/492, 8456/2141.
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 1382/492,8456/2141?
Given fractions are 1382/492,8456/2141
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 1382/492,8456/2141, numerators are 1382,8456
Denominators are 492,2141
The GCF of 1382,8456 is 2 .
LCM of 492,2141 is 1053372.
The greatest common factor of 1382/492,8456/2141 = [GCF of 1382,8456]/[LCM of 492,2141]= 2/1053372
Therefore, the GCF of 1382/492,8456/2141 is 2/1053372.
To find the highest common factor of 1382,8456, we have to find the factors of both numbers and list the highest common factor.
The factors of 1382 are 1, 2, 691, 1382
The factors of 8456 are 1, 2, 4, 7, 8, 14, 28, 56, 151, 302, 604, 1057, 1208, 2114, 4228, 8456
The HCF of 1382,8456 is 2.
Lets's calculate GCF of 1382,8456
| 2 | 1382, 8456 |
| 691, 4228 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1382,8456 By Matching Biggest Common Factor Method
Now, list down the factors of 1382
:1,2,691,1382
Now, list down the factors of 8456
:1,2,4,7,8,14,28,56,151,302,604,1057,1208,2114,4228,8456
Greatest Common Factor
We found the factors 1382,8456 . The biggest common factor number is the GCF number.
So the greatest common factor 1382,8456 is 2.
Lets's calculate LCM of 492,2141
Given numbers has no common factors except 1. So, there LCM is their product i.e 1053372
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1053372
Therefore, the GCF of Fractions 1382/492,8456/2141 is 2/1053372
Least Common Multiple of 492,2141 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 492,2141 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(492,2141) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(492,2141) x common factors =1 x 1 = 1
LCM(492,2141) = ( 492 × 2141 ) / 1
LCM(492,2141) = 1053372 / 1
LCM(492,2141) = 1053372
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FAQs on GCF of Fractions of 1382/492, 8456/2141
1. What is the HCF of 1382,8456?
The HCF of 1382,8456 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 1382/492, 8456/2141?
Answer: GCF of Numerators as per given numbers 1382/492, 8456/2141 is
GCF of Numerators i.e. for 1382,8456 is 2
LCM of denominators i.e. for 492,2141 is 1053372.
Thus, GCF of Fractions is 2/1053372.Finally, GCF of Fractions for 1382/492, 8456/2141 is 2/1053372.