GCF of 6898/879, 5477/3516
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6898/879, 5477/3516 i.e 1/3516 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6898/879, 5477/3516.
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 6898/879,5477/3516?
Given fractions are 6898/879,5477/3516
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 6898/879,5477/3516, numerators are 6898,5477
Denominators are 879,3516
The GCF of 6898,5477 is 1 .
LCM of 879,3516 is 3516.
The greatest common factor of 6898/879,5477/3516 = [GCF of 6898,5477]/[LCM of 879,3516]= 1/3516
Therefore, the GCF of 6898/879,5477/3516 is 1/3516.
To find the highest common factor of 6898,5477, we have to find the factors of both numbers and list the highest common factor.
The factors of 6898 are 1, 2, 3449, 6898
The factors of 5477 are 1, 5477
The HCF of 6898,5477 is 1.
Lets's calculate GCF of 6898,5477
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6898,5477 By Matching Biggest Common Factor Method
Now, list down the factors of 6898
:1,2,3449,6898
Now, list down the factors of 5477
:1,5477
Greatest Common Factor
We found the factors 6898,5477 . The biggest common factor number is the GCF number.
So the greatest common factor 6898,5477 is 1.
Lets's calculate LCM of 879,3516
| 3 | 879, 3516 |
| 293 | 293, 1172 |
| 1, 4 |
∴ So the LCM of the given numbers is 3 x 293 x 1 x 4 = 3516
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3516
Therefore, the GCF of Fractions 6898/879,5477/3516 is 1/3516
Least Common Multiple of 879,3516 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 879,3516 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(879,3516) = 879
common factors(in case of two or more numbers have common factors) = 1
GCF(879,3516) x common factors =879 x 1 = 879
LCM(879,3516) = ( 879 × 3516 ) / 879
LCM(879,3516) = 3090564 / 879
LCM(879,3516) = 3516
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FAQs on GCF of Fractions of 6898/879, 5477/3516
1. What is the HCF of 6898,5477?
The HCF of 6898,5477 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 6898/879, 5477/3516?
Answer: GCF of Numerators as per given numbers 6898/879, 5477/3516 is
GCF of Numerators i.e. for 6898,5477 is 1
LCM of denominators i.e. for 879,3516 is 3516.
Thus, GCF of Fractions is 1/3516.Finally, GCF of Fractions for 6898/879, 5477/3516 is 1/3516.