GCF of 3698/790, 7534/9943
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3698/790, 7534/9943 i.e 2/7854970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3698/790, 7534/9943.
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 3698/790,7534/9943?
Given fractions are 3698/790,7534/9943
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 3698/790,7534/9943, numerators are 3698,7534
Denominators are 790,9943
The GCF of 3698,7534 is 2 .
LCM of 790,9943 is 7854970.
The greatest common factor of 3698/790,7534/9943 = [GCF of 3698,7534]/[LCM of 790,9943]= 2/7854970
Therefore, the GCF of 3698/790,7534/9943 is 2/7854970.
To find the highest common factor of 3698,7534, we have to find the factors of both numbers and list the highest common factor.
The factors of 3698 are 1, 2, 43, 86, 1849, 3698
The factors of 7534 are 1, 2, 3767, 7534
The HCF of 3698,7534 is 2.
Lets's calculate GCF of 3698,7534
| 2 | 3698, 7534 |
| 1849, 3767 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3698,7534 By Matching Biggest Common Factor Method
Now, list down the factors of 3698
:1,2,43,86,1849,3698
Now, list down the factors of 7534
:1,2,3767,7534
Greatest Common Factor
We found the factors 3698,7534 . The biggest common factor number is the GCF number.
So the greatest common factor 3698,7534 is 2.
Lets's calculate LCM of 790,9943
Given numbers has no common factors except 1. So, there LCM is their product i.e 7854970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7854970
Therefore, the GCF of Fractions 3698/790,7534/9943 is 2/7854970
Least Common Multiple of 790,9943 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 790,9943 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(790,9943) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(790,9943) x common factors =1 x 1 = 1
LCM(790,9943) = ( 790 × 9943 ) / 1
LCM(790,9943) = 7854970 / 1
LCM(790,9943) = 7854970
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FAQs on GCF of Fractions of 3698/790, 7534/9943
1. What is the HCF of 3698,7534?
The HCF of 3698,7534 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 3698/790, 7534/9943?
Answer: GCF of Numerators as per given numbers 3698/790, 7534/9943 is
GCF of Numerators i.e. for 3698,7534 is 2
LCM of denominators i.e. for 790,9943 is 7854970.
Thus, GCF of Fractions is 2/7854970.Finally, GCF of Fractions for 3698/790, 7534/9943 is 2/7854970.