GCF of 3514/102, 7159/3488
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3514/102, 7159/3488 i.e 1/177888 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3514/102, 7159/3488.
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 3514/102,7159/3488?
Given fractions are 3514/102,7159/3488
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 3514/102,7159/3488, numerators are 3514,7159
Denominators are 102,3488
The GCF of 3514,7159 is 1 .
LCM of 102,3488 is 177888.
The greatest common factor of 3514/102,7159/3488 = [GCF of 3514,7159]/[LCM of 102,3488]= 1/177888
Therefore, the GCF of 3514/102,7159/3488 is 1/177888.
To find the highest common factor of 3514,7159, we have to find the factors of both numbers and list the highest common factor.
The factors of 3514 are 1, 2, 7, 14, 251, 502, 1757, 3514
The factors of 7159 are 1, 7159
The HCF of 3514,7159 is 1.
Lets's calculate GCF of 3514,7159
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3514,7159 By Matching Biggest Common Factor Method
Now, list down the factors of 3514
:1,2,7,14,251,502,1757,3514
Now, list down the factors of 7159
:1,7159
Greatest Common Factor
We found the factors 3514,7159 . The biggest common factor number is the GCF number.
So the greatest common factor 3514,7159 is 1.
Lets's calculate LCM of 102,3488
| 2 | 102, 3488 |
| 51, 1744 |
∴ So the LCM of the given numbers is 2 x 51 x 1744 = 177888
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/177888
Therefore, the GCF of Fractions 3514/102,7159/3488 is 1/177888
Least Common Multiple of 102,3488 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 102,3488 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(102,3488) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(102,3488) x common factors =2 x 1 = 2
LCM(102,3488) = ( 102 × 3488 ) / 2
LCM(102,3488) = 355776 / 2
LCM(102,3488) = 177888
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FAQs on GCF of Fractions of 3514/102, 7159/3488
1. What is the HCF of 3514,7159?
The HCF of 3514,7159 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 3514/102, 7159/3488?
Answer: GCF of Numerators as per given numbers 3514/102, 7159/3488 is
GCF of Numerators i.e. for 3514,7159 is 1
LCM of denominators i.e. for 102,3488 is 177888.
Thus, GCF of Fractions is 1/177888.Finally, GCF of Fractions for 3514/102, 7159/3488 is 1/177888.