GCF of 67/95, 39/65, 763/624
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 67/95, 39/65, 763/624 i.e 1/59280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 67/95, 39/65, 763/624.
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 67/95,39/65,763/624?
Given fractions are 67/95,39/65,763/624
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 67/95,39/65,763/624, numerators are 67,39,763
Denominators are 95,65,624
The GCF of 67,39,763 is 1 .
LCM of 95,65,624 is 59280.
The greatest common factor of 67/95,39/65,763/624 = [GCF of 67,39,763]/[LCM of 95,65,624]= 1/59280
Therefore, the GCF of 67/95,39/65,763/624 is 1/59280.
To find the highest common factor of 67,39,763, we have to find the factors of both numbers and list the highest common factor.
The factors of 67 are 1, 67
The factors of 39 are 1, 3, 13, 39
The factors of 763 are 1, 7, 109, 763
The HCF of 67,39,763 is 1.
Lets's calculate GCF of 67,39,763
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 67,39,763 By Matching Biggest Common Factor Method
Now, list down the factors of 67
:1,67
Now, list down the factors of 39
:1,3,13,39
Now, list down the factors of 763
:1,7,109,763
Greatest Common Factor
We found the factors 67,39,763 . The biggest common factor number is the GCF number.
So the greatest common factor 67,39,763 is 1.
Lets's calculate LCM of 95,65,624
| 5 | 95, 65, 624 |
| 13 | 19, 13, 624 |
| 19, 1, 48 |
∴ So the LCM of the given numbers is 5 x 13 x 19 x 1 x 48 = 59280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/59280
Therefore, the GCF of Fractions 67/95,39/65,763/624 is 1/59280
Least Common Multiple of 95,65,624 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 95,65,624 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,65,624) = 1
common factors(in case of two or more numbers have common factors) = 65
GCF(95,65,624) x common factors =1 x 65 = 65
LCM(95,65,624) = ( 95 × 65 × 624 ) / 65
LCM(95,65,624) = 3853200 / 65
LCM(95,65,624) = 59280
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FAQs on GCF of Fractions of 67/95, 39/65, 763/624
1. What is the HCF of 67,39,763?
The HCF of 67,39,763 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 67/95, 39/65, 763/624?
Answer: GCF of Numerators as per given numbers 67/95, 39/65, 763/624 is
GCF of Numerators i.e. for 67,39,763 is 1
LCM of denominators i.e. for 95,65,624 is 59280.
Thus, GCF of Fractions is 1/59280.Finally, GCF of Fractions for 67/95, 39/65, 763/624 is 1/59280.