GCF of 1457/638, 4176/577
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1457/638, 4176/577 i.e 1/368126 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1457/638, 4176/577.
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 1457/638,4176/577?
Given fractions are 1457/638,4176/577
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 1457/638,4176/577, numerators are 1457,4176
Denominators are 638,577
The GCF of 1457,4176 is 1 .
LCM of 638,577 is 368126.
The greatest common factor of 1457/638,4176/577 = [GCF of 1457,4176]/[LCM of 638,577]= 1/368126
Therefore, the GCF of 1457/638,4176/577 is 1/368126.
To find the highest common factor of 1457,4176, we have to find the factors of both numbers and list the highest common factor.
The factors of 1457 are 1, 31, 47, 1457
The factors of 4176 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 29, 36, 48, 58, 72, 87, 116, 144, 174, 232, 261, 348, 464, 522, 696, 1044, 1392, 2088, 4176
The HCF of 1457,4176 is 1.
Lets's calculate GCF of 1457,4176
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1457,4176 By Matching Biggest Common Factor Method
Now, list down the factors of 1457
:1,31,47,1457
Now, list down the factors of 4176
:1,2,3,4,6,8,9,12,16,18,24,29,36,48,58,72,87,116,144,174,232,261,348,464,522,696,1044,1392,2088,4176
Greatest Common Factor
We found the factors 1457,4176 . The biggest common factor number is the GCF number.
So the greatest common factor 1457,4176 is 1.
Lets's calculate LCM of 638,577
Given numbers has no common factors except 1. So, there LCM is their product i.e 368126
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/368126
Therefore, the GCF of Fractions 1457/638,4176/577 is 1/368126
Least Common Multiple of 638,577 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 638,577 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(638,577) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(638,577) x common factors =1 x 1 = 1
LCM(638,577) = ( 638 × 577 ) / 1
LCM(638,577) = 368126 / 1
LCM(638,577) = 368126
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FAQs on GCF of Fractions of 1457/638, 4176/577
1. What is the HCF of 1457,4176?
The HCF of 1457,4176 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 1457/638, 4176/577?
Answer: GCF of Numerators as per given numbers 1457/638, 4176/577 is
GCF of Numerators i.e. for 1457,4176 is 1
LCM of denominators i.e. for 638,577 is 368126.
Thus, GCF of Fractions is 1/368126.Finally, GCF of Fractions for 1457/638, 4176/577 is 1/368126.