GCF of 1372/314, 4219/5942
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1372/314, 4219/5942 i.e 1/932894 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1372/314, 4219/5942.
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 1372/314,4219/5942?
Given fractions are 1372/314,4219/5942
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 1372/314,4219/5942, numerators are 1372,4219
Denominators are 314,5942
The GCF of 1372,4219 is 1 .
LCM of 314,5942 is 932894.
The greatest common factor of 1372/314,4219/5942 = [GCF of 1372,4219]/[LCM of 314,5942]= 1/932894
Therefore, the GCF of 1372/314,4219/5942 is 1/932894.
To find the highest common factor of 1372,4219, we have to find the factors of both numbers and list the highest common factor.
The factors of 1372 are 1, 2, 4, 7, 14, 28, 49, 98, 196, 343, 686, 1372
The factors of 4219 are 1, 4219
The HCF of 1372,4219 is 1.
Lets's calculate GCF of 1372,4219
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1372,4219 By Matching Biggest Common Factor Method
Now, list down the factors of 1372
:1,2,4,7,14,28,49,98,196,343,686,1372
Now, list down the factors of 4219
:1,4219
Greatest Common Factor
We found the factors 1372,4219 . The biggest common factor number is the GCF number.
So the greatest common factor 1372,4219 is 1.
Lets's calculate LCM of 314,5942
| 2 | 314, 5942 |
| 157, 2971 |
∴ So the LCM of the given numbers is 2 x 157 x 2971 = 932894
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/932894
Therefore, the GCF of Fractions 1372/314,4219/5942 is 1/932894
Least Common Multiple of 314,5942 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 314,5942 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(314,5942) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(314,5942) x common factors =2 x 1 = 2
LCM(314,5942) = ( 314 × 5942 ) / 2
LCM(314,5942) = 1865788 / 2
LCM(314,5942) = 932894
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FAQs on GCF of Fractions of 1372/314, 4219/5942
1. What is the HCF of 1372,4219?
The HCF of 1372,4219 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 1372/314, 4219/5942?
Answer: GCF of Numerators as per given numbers 1372/314, 4219/5942 is
GCF of Numerators i.e. for 1372,4219 is 1
LCM of denominators i.e. for 314,5942 is 932894.
Thus, GCF of Fractions is 1/932894.Finally, GCF of Fractions for 1372/314, 4219/5942 is 1/932894.