GCF of 6774/655, 5098/740
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6774/655, 5098/740 i.e 2/96940 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6774/655, 5098/740.
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 6774/655,5098/740?
Given fractions are 6774/655,5098/740
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 6774/655,5098/740, numerators are 6774,5098
Denominators are 655,740
The GCF of 6774,5098 is 2 .
LCM of 655,740 is 96940.
The greatest common factor of 6774/655,5098/740 = [GCF of 6774,5098]/[LCM of 655,740]= 2/96940
Therefore, the GCF of 6774/655,5098/740 is 2/96940.
To find the highest common factor of 6774,5098, we have to find the factors of both numbers and list the highest common factor.
The factors of 6774 are 1, 2, 3, 6, 1129, 2258, 3387, 6774
The factors of 5098 are 1, 2, 2549, 5098
The HCF of 6774,5098 is 2.
Lets's calculate GCF of 6774,5098
| 2 | 6774, 5098 |
| 3387, 2549 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6774,5098 By Matching Biggest Common Factor Method
Now, list down the factors of 6774
:1,2,3,6,1129,2258,3387,6774
Now, list down the factors of 5098
:1,2,2549,5098
Greatest Common Factor
We found the factors 6774,5098 . The biggest common factor number is the GCF number.
So the greatest common factor 6774,5098 is 2.
Lets's calculate LCM of 655,740
| 5 | 655, 740 |
| 131, 148 |
∴ So the LCM of the given numbers is 5 x 131 x 148 = 96940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/96940
Therefore, the GCF of Fractions 6774/655,5098/740 is 2/96940
Least Common Multiple of 655,740 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 655,740 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(655,740) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(655,740) x common factors =5 x 1 = 5
LCM(655,740) = ( 655 × 740 ) / 5
LCM(655,740) = 484700 / 5
LCM(655,740) = 96940
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FAQs on GCF of Fractions of 6774/655, 5098/740
1. What is the HCF of 6774,5098?
The HCF of 6774,5098 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 6774/655, 5098/740?
Answer: GCF of Numerators as per given numbers 6774/655, 5098/740 is
GCF of Numerators i.e. for 6774,5098 is 2
LCM of denominators i.e. for 655,740 is 96940.
Thus, GCF of Fractions is 2/96940.Finally, GCF of Fractions for 6774/655, 5098/740 is 2/96940.