GCF of 7436/277, 4497/3213
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7436/277, 4497/3213 i.e 1/890001 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7436/277, 4497/3213.
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 7436/277,4497/3213?
Given fractions are 7436/277,4497/3213
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 7436/277,4497/3213, numerators are 7436,4497
Denominators are 277,3213
The GCF of 7436,4497 is 1 .
LCM of 277,3213 is 890001.
The greatest common factor of 7436/277,4497/3213 = [GCF of 7436,4497]/[LCM of 277,3213]= 1/890001
Therefore, the GCF of 7436/277,4497/3213 is 1/890001.
To find the highest common factor of 7436,4497, we have to find the factors of both numbers and list the highest common factor.
The factors of 7436 are 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 169, 286, 338, 572, 676, 1859, 3718, 7436
The factors of 4497 are 1, 3, 1499, 4497
The HCF of 7436,4497 is 1.
Lets's calculate GCF of 7436,4497
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7436,4497 By Matching Biggest Common Factor Method
Now, list down the factors of 7436
:1,2,4,11,13,22,26,44,52,143,169,286,338,572,676,1859,3718,7436
Now, list down the factors of 4497
:1,3,1499,4497
Greatest Common Factor
We found the factors 7436,4497 . The biggest common factor number is the GCF number.
So the greatest common factor 7436,4497 is 1.
Lets's calculate LCM of 277,3213
Given numbers has no common factors except 1. So, there LCM is their product i.e 890001
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/890001
Therefore, the GCF of Fractions 7436/277,4497/3213 is 1/890001
Least Common Multiple of 277,3213 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 277,3213 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(277,3213) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(277,3213) x common factors =1 x 1 = 1
LCM(277,3213) = ( 277 × 3213 ) / 1
LCM(277,3213) = 890001 / 1
LCM(277,3213) = 890001
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FAQs on GCF of Fractions of 7436/277, 4497/3213
1. What is the HCF of 7436,4497?
The HCF of 7436,4497 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 7436/277, 4497/3213?
Answer: GCF of Numerators as per given numbers 7436/277, 4497/3213 is
GCF of Numerators i.e. for 7436,4497 is 1
LCM of denominators i.e. for 277,3213 is 890001.
Thus, GCF of Fractions is 1/890001.Finally, GCF of Fractions for 7436/277, 4497/3213 is 1/890001.