GCF of 1272/214, 3950/5629
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1272/214, 3950/5629 i.e 2/1204606 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1272/214, 3950/5629.
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 1272/214,3950/5629?
Given fractions are 1272/214,3950/5629
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 1272/214,3950/5629, numerators are 1272,3950
Denominators are 214,5629
The GCF of 1272,3950 is 2 .
LCM of 214,5629 is 1204606.
The greatest common factor of 1272/214,3950/5629 = [GCF of 1272,3950]/[LCM of 214,5629]= 2/1204606
Therefore, the GCF of 1272/214,3950/5629 is 2/1204606.
To find the highest common factor of 1272,3950, we have to find the factors of both numbers and list the highest common factor.
The factors of 1272 are 1, 2, 3, 4, 6, 8, 12, 24, 53, 106, 159, 212, 318, 424, 636, 1272
The factors of 3950 are 1, 2, 5, 10, 25, 50, 79, 158, 395, 790, 1975, 3950
The HCF of 1272,3950 is 2.
Lets's calculate GCF of 1272,3950
| 2 | 1272, 3950 |
| 636, 1975 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1272,3950 By Matching Biggest Common Factor Method
Now, list down the factors of 1272
:1,2,3,4,6,8,12,24,53,106,159,212,318,424,636,1272
Now, list down the factors of 3950
:1,2,5,10,25,50,79,158,395,790,1975,3950
Greatest Common Factor
We found the factors 1272,3950 . The biggest common factor number is the GCF number.
So the greatest common factor 1272,3950 is 2.
Lets's calculate LCM of 214,5629
Given numbers has no common factors except 1. So, there LCM is their product i.e 1204606
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1204606
Therefore, the GCF of Fractions 1272/214,3950/5629 is 2/1204606
Least Common Multiple of 214,5629 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 214,5629 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(214,5629) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(214,5629) x common factors =1 x 1 = 1
LCM(214,5629) = ( 214 × 5629 ) / 1
LCM(214,5629) = 1204606 / 1
LCM(214,5629) = 1204606
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FAQs on GCF of Fractions of 1272/214, 3950/5629
1. What is the HCF of 1272,3950?
The HCF of 1272,3950 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 1272/214, 3950/5629?
Answer: GCF of Numerators as per given numbers 1272/214, 3950/5629 is
GCF of Numerators i.e. for 1272,3950 is 2
LCM of denominators i.e. for 214,5629 is 1204606.
Thus, GCF of Fractions is 2/1204606.Finally, GCF of Fractions for 1272/214, 3950/5629 is 2/1204606.