GCF of 4421/254, 6769/117
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4421/254, 6769/117 i.e 1/29718 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4421/254, 6769/117.
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 4421/254,6769/117?
Given fractions are 4421/254,6769/117
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 4421/254,6769/117, numerators are 4421,6769
Denominators are 254,117
The GCF of 4421,6769 is 1 .
LCM of 254,117 is 29718.
The greatest common factor of 4421/254,6769/117 = [GCF of 4421,6769]/[LCM of 254,117]= 1/29718
Therefore, the GCF of 4421/254,6769/117 is 1/29718.
To find the highest common factor of 4421,6769, we have to find the factors of both numbers and list the highest common factor.
The factors of 4421 are 1, 4421
The factors of 6769 are 1, 7, 967, 6769
The HCF of 4421,6769 is 1.
Lets's calculate GCF of 4421,6769
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4421,6769 By Matching Biggest Common Factor Method
Now, list down the factors of 4421
:1,4421
Now, list down the factors of 6769
:1,7,967,6769
Greatest Common Factor
We found the factors 4421,6769 . The biggest common factor number is the GCF number.
So the greatest common factor 4421,6769 is 1.
Lets's calculate LCM of 254,117
Given numbers has no common factors except 1. So, there LCM is their product i.e 29718
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29718
Therefore, the GCF of Fractions 4421/254,6769/117 is 1/29718
Least Common Multiple of 254,117 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 254,117 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(254,117) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(254,117) x common factors =1 x 1 = 1
LCM(254,117) = ( 254 × 117 ) / 1
LCM(254,117) = 29718 / 1
LCM(254,117) = 29718
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FAQs on GCF of Fractions of 4421/254, 6769/117
1. What is the HCF of 4421,6769?
The HCF of 4421,6769 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 4421/254, 6769/117?
Answer: GCF of Numerators as per given numbers 4421/254, 6769/117 is
GCF of Numerators i.e. for 4421,6769 is 1
LCM of denominators i.e. for 254,117 is 29718.
Thus, GCF of Fractions is 1/29718.Finally, GCF of Fractions for 4421/254, 6769/117 is 1/29718.