GCF of 2248/15, 3769/174
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2248/15, 3769/174 i.e 1/870 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2248/15, 3769/174.
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 2248/15,3769/174?
Given fractions are 2248/15,3769/174
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 2248/15,3769/174, numerators are 2248,3769
Denominators are 15,174
The GCF of 2248,3769 is 1 .
LCM of 15,174 is 870.
The greatest common factor of 2248/15,3769/174 = [GCF of 2248,3769]/[LCM of 15,174]= 1/870
Therefore, the GCF of 2248/15,3769/174 is 1/870.
To find the highest common factor of 2248,3769, we have to find the factors of both numbers and list the highest common factor.
The factors of 2248 are 1, 2, 4, 8, 281, 562, 1124, 2248
The factors of 3769 are 1, 3769
The HCF of 2248,3769 is 1.
Lets's calculate GCF of 2248,3769
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2248,3769 By Matching Biggest Common Factor Method
Now, list down the factors of 2248
:1,2,4,8,281,562,1124,2248
Now, list down the factors of 3769
:1,3769
Greatest Common Factor
We found the factors 2248,3769 . The biggest common factor number is the GCF number.
So the greatest common factor 2248,3769 is 1.
Lets's calculate LCM of 15,174
| 3 | 15, 174 |
| 5, 58 |
∴ So the LCM of the given numbers is 3 x 5 x 58 = 870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/870
Therefore, the GCF of Fractions 2248/15,3769/174 is 1/870
Least Common Multiple of 15,174 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 15,174 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,174) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(15,174) x common factors =3 x 1 = 3
LCM(15,174) = ( 15 × 174 ) / 3
LCM(15,174) = 2610 / 3
LCM(15,174) = 870
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FAQs on GCF of Fractions of 2248/15, 3769/174
1. What is the HCF of 2248,3769?
The HCF of 2248,3769 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 2248/15, 3769/174?
Answer: GCF of Numerators as per given numbers 2248/15, 3769/174 is
GCF of Numerators i.e. for 2248,3769 is 1
LCM of denominators i.e. for 15,174 is 870.
Thus, GCF of Fractions is 1/870.Finally, GCF of Fractions for 2248/15, 3769/174 is 1/870.