GCF of 2679/553, 2498/3456
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2679/553, 2498/3456 i.e 1/1911168 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2679/553, 2498/3456.
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 2679/553,2498/3456?
Given fractions are 2679/553,2498/3456
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 2679/553,2498/3456, numerators are 2679,2498
Denominators are 553,3456
The GCF of 2679,2498 is 1 .
LCM of 553,3456 is 1911168.
The greatest common factor of 2679/553,2498/3456 = [GCF of 2679,2498]/[LCM of 553,3456]= 1/1911168
Therefore, the GCF of 2679/553,2498/3456 is 1/1911168.
To find the highest common factor of 2679,2498, we have to find the factors of both numbers and list the highest common factor.
The factors of 2679 are 1, 3, 19, 47, 57, 141, 893, 2679
The factors of 2498 are 1, 2, 1249, 2498
The HCF of 2679,2498 is 1.
Lets's calculate GCF of 2679,2498
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2679,2498 By Matching Biggest Common Factor Method
Now, list down the factors of 2679
:1,3,19,47,57,141,893,2679
Now, list down the factors of 2498
:1,2,1249,2498
Greatest Common Factor
We found the factors 2679,2498 . The biggest common factor number is the GCF number.
So the greatest common factor 2679,2498 is 1.
Lets's calculate LCM of 553,3456
Given numbers has no common factors except 1. So, there LCM is their product i.e 1911168
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1911168
Therefore, the GCF of Fractions 2679/553,2498/3456 is 1/1911168
Least Common Multiple of 553,3456 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 553,3456 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(553,3456) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(553,3456) x common factors =1 x 1 = 1
LCM(553,3456) = ( 553 × 3456 ) / 1
LCM(553,3456) = 1911168 / 1
LCM(553,3456) = 1911168
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FAQs on GCF of Fractions of 2679/553, 2498/3456
1. What is the HCF of 2679,2498?
The HCF of 2679,2498 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 2679/553, 2498/3456?
Answer: GCF of Numerators as per given numbers 2679/553, 2498/3456 is
GCF of Numerators i.e. for 2679,2498 is 1
LCM of denominators i.e. for 553,3456 is 1911168.
Thus, GCF of Fractions is 1/1911168.Finally, GCF of Fractions for 2679/553, 2498/3456 is 1/1911168.