GCF of 4637/685, 2248/110
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4637/685, 2248/110 i.e 1/15070 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4637/685, 2248/110.
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 4637/685,2248/110?
Given fractions are 4637/685,2248/110
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 4637/685,2248/110, numerators are 4637,2248
Denominators are 685,110
The GCF of 4637,2248 is 1 .
LCM of 685,110 is 15070.
The greatest common factor of 4637/685,2248/110 = [GCF of 4637,2248]/[LCM of 685,110]= 1/15070
Therefore, the GCF of 4637/685,2248/110 is 1/15070.
To find the highest common factor of 4637,2248, we have to find the factors of both numbers and list the highest common factor.
The factors of 4637 are 1, 4637
The factors of 2248 are 1, 2, 4, 8, 281, 562, 1124, 2248
The HCF of 4637,2248 is 1.
Lets's calculate GCF of 4637,2248
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4637,2248 By Matching Biggest Common Factor Method
Now, list down the factors of 4637
:1,4637
Now, list down the factors of 2248
:1,2,4,8,281,562,1124,2248
Greatest Common Factor
We found the factors 4637,2248 . The biggest common factor number is the GCF number.
So the greatest common factor 4637,2248 is 1.
Lets's calculate LCM of 685,110
| 5 | 685, 110 |
| 137, 22 |
∴ So the LCM of the given numbers is 5 x 137 x 22 = 15070
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15070
Therefore, the GCF of Fractions 4637/685,2248/110 is 1/15070
Least Common Multiple of 685,110 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 685,110 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(685,110) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(685,110) x common factors =5 x 1 = 5
LCM(685,110) = ( 685 × 110 ) / 5
LCM(685,110) = 75350 / 5
LCM(685,110) = 15070
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FAQs on GCF of Fractions of 4637/685, 2248/110
1. What is the HCF of 4637,2248?
The HCF of 4637,2248 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 4637/685, 2248/110?
Answer: GCF of Numerators as per given numbers 4637/685, 2248/110 is
GCF of Numerators i.e. for 4637,2248 is 1
LCM of denominators i.e. for 685,110 is 15070.
Thus, GCF of Fractions is 1/15070.Finally, GCF of Fractions for 4637/685, 2248/110 is 1/15070.