GCF of 1976/724, 1014/4531
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1976/724, 1014/4531 i.e 26/3280444 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1976/724, 1014/4531.
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 1976/724,1014/4531?
Given fractions are 1976/724,1014/4531
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 1976/724,1014/4531, numerators are 1976,1014
Denominators are 724,4531
The GCF of 1976,1014 is 26 .
LCM of 724,4531 is 3280444.
The greatest common factor of 1976/724,1014/4531 = [GCF of 1976,1014]/[LCM of 724,4531]= 26/3280444
Therefore, the GCF of 1976/724,1014/4531 is 26/3280444.
To find the highest common factor of 1976,1014, we have to find the factors of both numbers and list the highest common factor.
The factors of 1976 are 1, 2, 4, 8, 13, 19, 26, 38, 52, 76, 104, 152, 247, 494, 988, 1976
The factors of 1014 are 1, 2, 3, 6, 13, 26, 39, 78, 169, 338, 507, 1014
The HCF of 1976,1014 is 26.
Lets's calculate GCF of 1976,1014
| 2 | 1976, 1014 |
| 13 | 988, 507 |
| 76, 39 |
∴ So the GCF of the given numbers is 2 x 13 = 26
Greatest Common Factor of 1976,1014 By Matching Biggest Common Factor Method
Now, list down the factors of 1976
:1,2,4,8,13,19,26,38,52,76,104,152,247,494,988,1976
Now, list down the factors of 1014
:1,2,3,6,13,26,39,78,169,338,507,1014
Greatest Common Factor
We found the factors 1976,1014 . The biggest common factor number is the GCF number.
So the greatest common factor 1976,1014 is 26.
Lets's calculate LCM of 724,4531
Given numbers has no common factors except 1. So, there LCM is their product i.e 3280444
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/3280444
Therefore, the GCF of Fractions 1976/724,1014/4531 is 26/3280444
Least Common Multiple of 724,4531 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 724,4531 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(724,4531) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(724,4531) x common factors =1 x 1 = 1
LCM(724,4531) = ( 724 × 4531 ) / 1
LCM(724,4531) = 3280444 / 1
LCM(724,4531) = 3280444
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FAQs on GCF of Fractions of 1976/724, 1014/4531
1. What is the HCF of 1976,1014?
The HCF of 1976,1014 is 26
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 1976/724, 1014/4531?
Answer: GCF of Numerators as per given numbers 1976/724, 1014/4531 is
GCF of Numerators i.e. for 1976,1014 is 26
LCM of denominators i.e. for 724,4531 is 3280444.
Thus, GCF of Fractions is 26/3280444.Finally, GCF of Fractions for 1976/724, 1014/4531 is 26/3280444.