GCF of 3521/754, 7043/6898
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3521/754, 7043/6898 i.e 1/2600546 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3521/754, 7043/6898.
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 3521/754,7043/6898?
Given fractions are 3521/754,7043/6898
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 3521/754,7043/6898, numerators are 3521,7043
Denominators are 754,6898
The GCF of 3521,7043 is 1 .
LCM of 754,6898 is 2600546.
The greatest common factor of 3521/754,7043/6898 = [GCF of 3521,7043]/[LCM of 754,6898]= 1/2600546
Therefore, the GCF of 3521/754,7043/6898 is 1/2600546.
To find the highest common factor of 3521,7043, we have to find the factors of both numbers and list the highest common factor.
The factors of 3521 are 1, 7, 503, 3521
The factors of 7043 are 1, 7043
The HCF of 3521,7043 is 1.
Lets's calculate GCF of 3521,7043
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3521,7043 By Matching Biggest Common Factor Method
Now, list down the factors of 3521
:1,7,503,3521
Now, list down the factors of 7043
:1,7043
Greatest Common Factor
We found the factors 3521,7043 . The biggest common factor number is the GCF number.
So the greatest common factor 3521,7043 is 1.
Lets's calculate LCM of 754,6898
| 2 | 754, 6898 |
| 377, 3449 |
∴ So the LCM of the given numbers is 2 x 377 x 3449 = 2600546
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2600546
Therefore, the GCF of Fractions 3521/754,7043/6898 is 1/2600546
Least Common Multiple of 754,6898 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 754,6898 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(754,6898) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(754,6898) x common factors =2 x 1 = 2
LCM(754,6898) = ( 754 × 6898 ) / 2
LCM(754,6898) = 5201092 / 2
LCM(754,6898) = 2600546
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FAQs on GCF of Fractions of 3521/754, 7043/6898
1. What is the HCF of 3521,7043?
The HCF of 3521,7043 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 3521/754, 7043/6898?
Answer: GCF of Numerators as per given numbers 3521/754, 7043/6898 is
GCF of Numerators i.e. for 3521,7043 is 1
LCM of denominators i.e. for 754,6898 is 2600546.
Thus, GCF of Fractions is 1/2600546.Finally, GCF of Fractions for 3521/754, 7043/6898 is 1/2600546.