GCF of 3761/670, 7568/6554
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3761/670, 7568/6554 i.e 1/2195590 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3761/670, 7568/6554.
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 3761/670,7568/6554?
Given fractions are 3761/670,7568/6554
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 3761/670,7568/6554, numerators are 3761,7568
Denominators are 670,6554
The GCF of 3761,7568 is 1 .
LCM of 670,6554 is 2195590.
The greatest common factor of 3761/670,7568/6554 = [GCF of 3761,7568]/[LCM of 670,6554]= 1/2195590
Therefore, the GCF of 3761/670,7568/6554 is 1/2195590.
To find the highest common factor of 3761,7568, we have to find the factors of both numbers and list the highest common factor.
The factors of 3761 are 1, 3761
The factors of 7568 are 1, 2, 4, 8, 11, 16, 22, 43, 44, 86, 88, 172, 176, 344, 473, 688, 946, 1892, 3784, 7568
The HCF of 3761,7568 is 1.
Lets's calculate GCF of 3761,7568
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3761,7568 By Matching Biggest Common Factor Method
Now, list down the factors of 3761
:1,3761
Now, list down the factors of 7568
:1,2,4,8,11,16,22,43,44,86,88,172,176,344,473,688,946,1892,3784,7568
Greatest Common Factor
We found the factors 3761,7568 . The biggest common factor number is the GCF number.
So the greatest common factor 3761,7568 is 1.
Lets's calculate LCM of 670,6554
| 2 | 670, 6554 |
| 335, 3277 |
∴ So the LCM of the given numbers is 2 x 335 x 3277 = 2195590
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2195590
Therefore, the GCF of Fractions 3761/670,7568/6554 is 1/2195590
Least Common Multiple of 670,6554 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 670,6554 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(670,6554) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(670,6554) x common factors =2 x 1 = 2
LCM(670,6554) = ( 670 × 6554 ) / 2
LCM(670,6554) = 4391180 / 2
LCM(670,6554) = 2195590
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FAQs on GCF of Fractions of 3761/670, 7568/6554
1. What is the HCF of 3761,7568?
The HCF of 3761,7568 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 3761/670, 7568/6554?
Answer: GCF of Numerators as per given numbers 3761/670, 7568/6554 is
GCF of Numerators i.e. for 3761,7568 is 1
LCM of denominators i.e. for 670,6554 is 2195590.
Thus, GCF of Fractions is 1/2195590.Finally, GCF of Fractions for 3761/670, 7568/6554 is 1/2195590.