GCF of 3551/691, 5654/2787
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3551/691, 5654/2787 i.e 1/1925817 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3551/691, 5654/2787.
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 3551/691,5654/2787?
Given fractions are 3551/691,5654/2787
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 3551/691,5654/2787, numerators are 3551,5654
Denominators are 691,2787
The GCF of 3551,5654 is 1 .
LCM of 691,2787 is 1925817.
The greatest common factor of 3551/691,5654/2787 = [GCF of 3551,5654]/[LCM of 691,2787]= 1/1925817
Therefore, the GCF of 3551/691,5654/2787 is 1/1925817.
To find the highest common factor of 3551,5654, we have to find the factors of both numbers and list the highest common factor.
The factors of 3551 are 1, 53, 67, 3551
The factors of 5654 are 1, 2, 11, 22, 257, 514, 2827, 5654
The HCF of 3551,5654 is 1.
Lets's calculate GCF of 3551,5654
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3551,5654 By Matching Biggest Common Factor Method
Now, list down the factors of 3551
:1,53,67,3551
Now, list down the factors of 5654
:1,2,11,22,257,514,2827,5654
Greatest Common Factor
We found the factors 3551,5654 . The biggest common factor number is the GCF number.
So the greatest common factor 3551,5654 is 1.
Lets's calculate LCM of 691,2787
Given numbers has no common factors except 1. So, there LCM is their product i.e 1925817
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1925817
Therefore, the GCF of Fractions 3551/691,5654/2787 is 1/1925817
Least Common Multiple of 691,2787 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 691,2787 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(691,2787) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(691,2787) x common factors =1 x 1 = 1
LCM(691,2787) = ( 691 × 2787 ) / 1
LCM(691,2787) = 1925817 / 1
LCM(691,2787) = 1925817
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FAQs on GCF of Fractions of 3551/691, 5654/2787
1. What is the HCF of 3551,5654?
The HCF of 3551,5654 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 3551/691, 5654/2787?
Answer: GCF of Numerators as per given numbers 3551/691, 5654/2787 is
GCF of Numerators i.e. for 3551,5654 is 1
LCM of denominators i.e. for 691,2787 is 1925817.
Thus, GCF of Fractions is 1/1925817.Finally, GCF of Fractions for 3551/691, 5654/2787 is 1/1925817.