GCF of 1438/736, 7688/9091
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1438/736, 7688/9091 i.e 2/6690976 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1438/736, 7688/9091.
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 1438/736,7688/9091?
Given fractions are 1438/736,7688/9091
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 1438/736,7688/9091, numerators are 1438,7688
Denominators are 736,9091
The GCF of 1438,7688 is 2 .
LCM of 736,9091 is 6690976.
The greatest common factor of 1438/736,7688/9091 = [GCF of 1438,7688]/[LCM of 736,9091]= 2/6690976
Therefore, the GCF of 1438/736,7688/9091 is 2/6690976.
To find the highest common factor of 1438,7688, we have to find the factors of both numbers and list the highest common factor.
The factors of 1438 are 1, 2, 719, 1438
The factors of 7688 are 1, 2, 4, 8, 31, 62, 124, 248, 961, 1922, 3844, 7688
The HCF of 1438,7688 is 2.
Lets's calculate GCF of 1438,7688
| 2 | 1438, 7688 |
| 719, 3844 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1438,7688 By Matching Biggest Common Factor Method
Now, list down the factors of 1438
:1,2,719,1438
Now, list down the factors of 7688
:1,2,4,8,31,62,124,248,961,1922,3844,7688
Greatest Common Factor
We found the factors 1438,7688 . The biggest common factor number is the GCF number.
So the greatest common factor 1438,7688 is 2.
Lets's calculate LCM of 736,9091
Given numbers has no common factors except 1. So, there LCM is their product i.e 6690976
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6690976
Therefore, the GCF of Fractions 1438/736,7688/9091 is 2/6690976
Least Common Multiple of 736,9091 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 736,9091 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(736,9091) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(736,9091) x common factors =1 x 1 = 1
LCM(736,9091) = ( 736 × 9091 ) / 1
LCM(736,9091) = 6690976 / 1
LCM(736,9091) = 6690976
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FAQs on GCF of Fractions of 1438/736, 7688/9091
1. What is the HCF of 1438,7688?
The HCF of 1438,7688 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 1438/736, 7688/9091?
Answer: GCF of Numerators as per given numbers 1438/736, 7688/9091 is
GCF of Numerators i.e. for 1438,7688 is 2
LCM of denominators i.e. for 736,9091 is 6690976.
Thus, GCF of Fractions is 2/6690976.Finally, GCF of Fractions for 1438/736, 7688/9091 is 2/6690976.