GCF of 7234/181, 5688/3268
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7234/181, 5688/3268 i.e 2/591508 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7234/181, 5688/3268.
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 7234/181,5688/3268?
Given fractions are 7234/181,5688/3268
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 7234/181,5688/3268, numerators are 7234,5688
Denominators are 181,3268
The GCF of 7234,5688 is 2 .
LCM of 181,3268 is 591508.
The greatest common factor of 7234/181,5688/3268 = [GCF of 7234,5688]/[LCM of 181,3268]= 2/591508
Therefore, the GCF of 7234/181,5688/3268 is 2/591508.
To find the highest common factor of 7234,5688, we have to find the factors of both numbers and list the highest common factor.
The factors of 7234 are 1, 2, 3617, 7234
The factors of 5688 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 79, 158, 237, 316, 474, 632, 711, 948, 1422, 1896, 2844, 5688
The HCF of 7234,5688 is 2.
Lets's calculate GCF of 7234,5688
| 2 | 7234, 5688 |
| 3617, 2844 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7234,5688 By Matching Biggest Common Factor Method
Now, list down the factors of 7234
:1,2,3617,7234
Now, list down the factors of 5688
:1,2,3,4,6,8,9,12,18,24,36,72,79,158,237,316,474,632,711,948,1422,1896,2844,5688
Greatest Common Factor
We found the factors 7234,5688 . The biggest common factor number is the GCF number.
So the greatest common factor 7234,5688 is 2.
Lets's calculate LCM of 181,3268
Given numbers has no common factors except 1. So, there LCM is their product i.e 591508
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/591508
Therefore, the GCF of Fractions 7234/181,5688/3268 is 2/591508
Least Common Multiple of 181,3268 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 181,3268 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(181,3268) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(181,3268) x common factors =1 x 1 = 1
LCM(181,3268) = ( 181 × 3268 ) / 1
LCM(181,3268) = 591508 / 1
LCM(181,3268) = 591508
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FAQs on GCF of Fractions of 7234/181, 5688/3268
1. What is the HCF of 7234,5688?
The HCF of 7234,5688 is 2
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 7234/181, 5688/3268?
Answer: GCF of Numerators as per given numbers 7234/181, 5688/3268 is
GCF of Numerators i.e. for 7234,5688 is 2
LCM of denominators i.e. for 181,3268 is 591508.
Thus, GCF of Fractions is 2/591508.Finally, GCF of Fractions for 7234/181, 5688/3268 is 2/591508.