GCF of 1367/634, 7673/9942
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1367/634, 7673/9942 i.e 1/3151614 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1367/634, 7673/9942.
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 1367/634,7673/9942?
Given fractions are 1367/634,7673/9942
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 1367/634,7673/9942, numerators are 1367,7673
Denominators are 634,9942
The GCF of 1367,7673 is 1 .
LCM of 634,9942 is 3151614.
The greatest common factor of 1367/634,7673/9942 = [GCF of 1367,7673]/[LCM of 634,9942]= 1/3151614
Therefore, the GCF of 1367/634,7673/9942 is 1/3151614.
To find the highest common factor of 1367,7673, we have to find the factors of both numbers and list the highest common factor.
The factors of 1367 are 1, 1367
The factors of 7673 are 1, 7673
The HCF of 1367,7673 is 1.
Lets's calculate GCF of 1367,7673
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1367,7673 By Matching Biggest Common Factor Method
Now, list down the factors of 1367
:1,1367
Now, list down the factors of 7673
:1,7673
Greatest Common Factor
We found the factors 1367,7673 . The biggest common factor number is the GCF number.
So the greatest common factor 1367,7673 is 1.
Lets's calculate LCM of 634,9942
| 2 | 634, 9942 |
| 317, 4971 |
∴ So the LCM of the given numbers is 2 x 317 x 4971 = 3151614
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3151614
Therefore, the GCF of Fractions 1367/634,7673/9942 is 1/3151614
Least Common Multiple of 634,9942 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 634,9942 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(634,9942) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(634,9942) x common factors =2 x 1 = 2
LCM(634,9942) = ( 634 × 9942 ) / 2
LCM(634,9942) = 6303228 / 2
LCM(634,9942) = 3151614
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FAQs on GCF of Fractions of 1367/634, 7673/9942
1. What is the HCF of 1367,7673?
The HCF of 1367,7673 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 1367/634, 7673/9942?
Answer: GCF of Numerators as per given numbers 1367/634, 7673/9942 is
GCF of Numerators i.e. for 1367,7673 is 1
LCM of denominators i.e. for 634,9942 is 3151614.
Thus, GCF of Fractions is 1/3151614.Finally, GCF of Fractions for 1367/634, 7673/9942 is 1/3151614.