GCF of 763/268, 739/375, 442/368
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 763/268, 739/375, 442/368 i.e 1/9246000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 763/268, 739/375, 442/368.
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 763/268,739/375,442/368?
Given fractions are 763/268,739/375,442/368
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 763/268,739/375,442/368, numerators are 763,739,442
Denominators are 268,375,368
The GCF of 763,739,442 is 1 .
LCM of 268,375,368 is 9246000.
The greatest common factor of 763/268,739/375,442/368 = [GCF of 763,739,442]/[LCM of 268,375,368]= 1/9246000
Therefore, the GCF of 763/268,739/375,442/368 is 1/9246000.
To find the highest common factor of 763,739,442, we have to find the factors of both numbers and list the highest common factor.
The factors of 763 are 1, 7, 109, 763
The factors of 739 are 1, 739
The factors of 442 are 1, 2, 13, 17, 26, 34, 221, 442
The HCF of 763,739,442 is 1.
Lets's calculate GCF of 763,739,442
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 763,739,442 By Matching Biggest Common Factor Method
Now, list down the factors of 763
:1,7,109,763
Now, list down the factors of 739
:1,739
Now, list down the factors of 442
:1,2,13,17,26,34,221,442
Greatest Common Factor
We found the factors 763,739,442 . The biggest common factor number is the GCF number.
So the greatest common factor 763,739,442 is 1.
Lets's calculate LCM of 268,375,368
| 2 | 268, 375, 368 |
| 2 | 134, 375, 184 |
| 67, 375, 92 |
∴ So the LCM of the given numbers is 2 x 2 x 67 x 375 x 92 = 9246000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9246000
Therefore, the GCF of Fractions 763/268,739/375,442/368 is 1/9246000
Least Common Multiple of 268,375,368 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 268,375,368 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(268,375,368) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(268,375,368) x common factors =1 x 4 = 4
LCM(268,375,368) = ( 268 × 375 × 368 ) / 4
LCM(268,375,368) = 36984000 / 4
LCM(268,375,368) = 9246000
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FAQs on GCF of Fractions of 763/268, 739/375, 442/368
1. What is the HCF of 763,739,442?
The HCF of 763,739,442 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 763/268, 739/375, 442/368?
Answer: GCF of Numerators as per given numbers 763/268, 739/375, 442/368 is
GCF of Numerators i.e. for 763,739,442 is 1
LCM of denominators i.e. for 268,375,368 is 9246000.
Thus, GCF of Fractions is 1/9246000.Finally, GCF of Fractions for 763/268, 739/375, 442/368 is 1/9246000.