GCF of 3649/693, 6497/7757
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3649/693, 6497/7757 i.e 89/5375601 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3649/693, 6497/7757.
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 3649/693,6497/7757?
Given fractions are 3649/693,6497/7757
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 3649/693,6497/7757, numerators are 3649,6497
Denominators are 693,7757
The GCF of 3649,6497 is 89 .
LCM of 693,7757 is 5375601.
The greatest common factor of 3649/693,6497/7757 = [GCF of 3649,6497]/[LCM of 693,7757]= 89/5375601
Therefore, the GCF of 3649/693,6497/7757 is 89/5375601.
To find the highest common factor of 3649,6497, we have to find the factors of both numbers and list the highest common factor.
The factors of 3649 are 1, 41, 89, 3649
The factors of 6497 are 1, 73, 89, 6497
The HCF of 3649,6497 is 89.
Lets's calculate GCF of 3649,6497
| 89 | 3649, 6497 |
| 41, 73 |
∴ So the GCF of the given numbers is 89 = 89
Greatest Common Factor of 3649,6497 By Matching Biggest Common Factor Method
Now, list down the factors of 3649
:1,41,89,3649
Now, list down the factors of 6497
:1,73,89,6497
Greatest Common Factor
We found the factors 3649,6497 . The biggest common factor number is the GCF number.
So the greatest common factor 3649,6497 is 89.
Lets's calculate LCM of 693,7757
Given numbers has no common factors except 1. So, there LCM is their product i.e 5375601
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 89/5375601
Therefore, the GCF of Fractions 3649/693,6497/7757 is 89/5375601
Least Common Multiple of 693,7757 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 693,7757 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(693,7757) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(693,7757) x common factors =1 x 1 = 1
LCM(693,7757) = ( 693 × 7757 ) / 1
LCM(693,7757) = 5375601 / 1
LCM(693,7757) = 5375601
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FAQs on GCF of Fractions of 3649/693, 6497/7757
1. What is the HCF of 3649,6497?
The HCF of 3649,6497 is 89
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 3649/693, 6497/7757?
Answer: GCF of Numerators as per given numbers 3649/693, 6497/7757 is
GCF of Numerators i.e. for 3649,6497 is 89
LCM of denominators i.e. for 693,7757 is 5375601.
Thus, GCF of Fractions is 89/5375601.Finally, GCF of Fractions for 3649/693, 6497/7757 is 89/5375601.