GCF of 7699/354, 3053/7946
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7699/354, 3053/7946 i.e 1/1406442 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7699/354, 3053/7946.
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 7699/354,3053/7946?
Given fractions are 7699/354,3053/7946
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 7699/354,3053/7946, numerators are 7699,3053
Denominators are 354,7946
The GCF of 7699,3053 is 1 .
LCM of 354,7946 is 1406442.
The greatest common factor of 7699/354,3053/7946 = [GCF of 7699,3053]/[LCM of 354,7946]= 1/1406442
Therefore, the GCF of 7699/354,3053/7946 is 1/1406442.
To find the highest common factor of 7699,3053, we have to find the factors of both numbers and list the highest common factor.
The factors of 7699 are 1, 7699
The factors of 3053 are 1, 43, 71, 3053
The HCF of 7699,3053 is 1.
Lets's calculate GCF of 7699,3053
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7699,3053 By Matching Biggest Common Factor Method
Now, list down the factors of 7699
:1,7699
Now, list down the factors of 3053
:1,43,71,3053
Greatest Common Factor
We found the factors 7699,3053 . The biggest common factor number is the GCF number.
So the greatest common factor 7699,3053 is 1.
Lets's calculate LCM of 354,7946
| 2 | 354, 7946 |
| 177, 3973 |
∴ So the LCM of the given numbers is 2 x 177 x 3973 = 1406442
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1406442
Therefore, the GCF of Fractions 7699/354,3053/7946 is 1/1406442
Least Common Multiple of 354,7946 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 354,7946 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(354,7946) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(354,7946) x common factors =2 x 1 = 2
LCM(354,7946) = ( 354 × 7946 ) / 2
LCM(354,7946) = 2812884 / 2
LCM(354,7946) = 1406442
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FAQs on GCF of Fractions of 7699/354, 3053/7946
1. What is the HCF of 7699,3053?
The HCF of 7699,3053 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 7699/354, 3053/7946?
Answer: GCF of Numerators as per given numbers 7699/354, 3053/7946 is
GCF of Numerators i.e. for 7699,3053 is 1
LCM of denominators i.e. for 354,7946 is 1406442.
Thus, GCF of Fractions is 1/1406442.Finally, GCF of Fractions for 7699/354, 3053/7946 is 1/1406442.