GCF of 758/64, 382/60, 140/85
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 758/64, 382/60, 140/85 i.e 2/16320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 758/64, 382/60, 140/85.
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 758/64,382/60,140/85?
Given fractions are 758/64,382/60,140/85
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 758/64,382/60,140/85, numerators are 758,382,140
Denominators are 64,60,85
The GCF of 758,382,140 is 2 .
LCM of 64,60,85 is 16320.
The greatest common factor of 758/64,382/60,140/85 = [GCF of 758,382,140]/[LCM of 64,60,85]= 2/16320
Therefore, the GCF of 758/64,382/60,140/85 is 2/16320.
To find the highest common factor of 758,382,140, we have to find the factors of both numbers and list the highest common factor.
The factors of 758 are 1, 2, 379, 758
The factors of 382 are 1, 2, 191, 382
The factors of 140 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
The HCF of 758,382,140 is 2.
Lets's calculate GCF of 758,382,140
| 2 | 758, 382, 140 |
| 379, 191, 70 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 758,382,140 By Matching Biggest Common Factor Method
Now, list down the factors of 758
:1,2,379,758
Now, list down the factors of 382
:1,2,191,382
Now, list down the factors of 140
:1,2,4,5,7,10,14,20,28,35,70,140
Greatest Common Factor
We found the factors 758,382,140 . The biggest common factor number is the GCF number.
So the greatest common factor 758,382,140 is 2.
Lets's calculate LCM of 64,60,85
| 2 | 64, 60, 85 |
| 2 | 32, 30, 85 |
| 5 | 16, 15, 85 |
| 16, 3, 17 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 16 x 3 x 17 = 16320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/16320
Therefore, the GCF of Fractions 758/64,382/60,140/85 is 2/16320
Least Common Multiple of 64,60,85 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 64,60,85 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,60,85) = 1
common factors(in case of two or more numbers have common factors) = 20
GCF(64,60,85) x common factors =1 x 20 = 20
LCM(64,60,85) = ( 64 × 60 × 85 ) / 20
LCM(64,60,85) = 326400 / 20
LCM(64,60,85) = 16320
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FAQs on GCF of Fractions of 758/64, 382/60, 140/85
1. What is the HCF of 758,382,140?
The HCF of 758,382,140 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 758/64, 382/60, 140/85?
Answer: GCF of Numerators as per given numbers 758/64, 382/60, 140/85 is
GCF of Numerators i.e. for 758,382,140 is 2
LCM of denominators i.e. for 64,60,85 is 16320.
Thus, GCF of Fractions is 2/16320.Finally, GCF of Fractions for 758/64, 382/60, 140/85 is 2/16320.