GCF of 7944/168, 3677/740
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7944/168, 3677/740 i.e 1/31080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7944/168, 3677/740.
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 7944/168,3677/740?
Given fractions are 7944/168,3677/740
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 7944/168,3677/740, numerators are 7944,3677
Denominators are 168,740
The GCF of 7944,3677 is 1 .
LCM of 168,740 is 31080.
The greatest common factor of 7944/168,3677/740 = [GCF of 7944,3677]/[LCM of 168,740]= 1/31080
Therefore, the GCF of 7944/168,3677/740 is 1/31080.
To find the highest common factor of 7944,3677, we have to find the factors of both numbers and list the highest common factor.
The factors of 7944 are 1, 2, 3, 4, 6, 8, 12, 24, 331, 662, 993, 1324, 1986, 2648, 3972, 7944
The factors of 3677 are 1, 3677
The HCF of 7944,3677 is 1.
Lets's calculate GCF of 7944,3677
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7944,3677 By Matching Biggest Common Factor Method
Now, list down the factors of 7944
:1,2,3,4,6,8,12,24,331,662,993,1324,1986,2648,3972,7944
Now, list down the factors of 3677
:1,3677
Greatest Common Factor
We found the factors 7944,3677 . The biggest common factor number is the GCF number.
So the greatest common factor 7944,3677 is 1.
Lets's calculate LCM of 168,740
| 2 | 168, 740 |
| 2 | 84, 370 |
| 42, 185 |
∴ So the LCM of the given numbers is 2 x 2 x 42 x 185 = 31080
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31080
Therefore, the GCF of Fractions 7944/168,3677/740 is 1/31080
Least Common Multiple of 168,740 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 168,740 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(168,740) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(168,740) x common factors =4 x 1 = 4
LCM(168,740) = ( 168 × 740 ) / 4
LCM(168,740) = 124320 / 4
LCM(168,740) = 31080
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FAQs on GCF of Fractions of 7944/168, 3677/740
1. What is the HCF of 7944,3677?
The HCF of 7944,3677 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 7944/168, 3677/740?
Answer: GCF of Numerators as per given numbers 7944/168, 3677/740 is
GCF of Numerators i.e. for 7944,3677 is 1
LCM of denominators i.e. for 168,740 is 31080.
Thus, GCF of Fractions is 1/31080.Finally, GCF of Fractions for 7944/168, 3677/740 is 1/31080.