GCF of 39/88, 730/65, 772/130
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 39/88, 730/65, 772/130 i.e 1/5720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 39/88, 730/65, 772/130.
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 39/88,730/65,772/130?
Given fractions are 39/88,730/65,772/130
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 39/88,730/65,772/130, numerators are 39,730,772
Denominators are 88,65,130
The GCF of 39,730,772 is 1 .
LCM of 88,65,130 is 5720.
The greatest common factor of 39/88,730/65,772/130 = [GCF of 39,730,772]/[LCM of 88,65,130]= 1/5720
Therefore, the GCF of 39/88,730/65,772/130 is 1/5720.
To find the highest common factor of 39,730,772, we have to find the factors of both numbers and list the highest common factor.
The factors of 39 are 1, 3, 13, 39
The factors of 730 are 1, 2, 5, 10, 73, 146, 365, 730
The factors of 772 are 1, 2, 4, 193, 386, 772
The HCF of 39,730,772 is 1.
Lets's calculate GCF of 39,730,772
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 39,730,772 By Matching Biggest Common Factor Method
Now, list down the factors of 39
:1,3,13,39
Now, list down the factors of 730
:1,2,5,10,73,146,365,730
Now, list down the factors of 772
:1,2,4,193,386,772
Greatest Common Factor
We found the factors 39,730,772 . The biggest common factor number is the GCF number.
So the greatest common factor 39,730,772 is 1.
Lets's calculate LCM of 88,65,130
| 2 | 88, 65, 130 |
| 5 | 44, 65, 65 |
| 13 | 44, 13, 13 |
| 44, 1, 1 |
∴ So the LCM of the given numbers is 2 x 5 x 13 x 44 x 1 x 1 = 5720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5720
Therefore, the GCF of Fractions 39/88,730/65,772/130 is 1/5720
Least Common Multiple of 88,65,130 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 88,65,130 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,65,130) = 1
common factors(in case of two or more numbers have common factors) = 130
GCF(88,65,130) x common factors =1 x 130 = 130
LCM(88,65,130) = ( 88 × 65 × 130 ) / 130
LCM(88,65,130) = 743600 / 130
LCM(88,65,130) = 5720
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FAQs on GCF of Fractions of 39/88, 730/65, 772/130
1. What is the HCF of 39,730,772?
The HCF of 39,730,772 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 39/88, 730/65, 772/130?
Answer: GCF of Numerators as per given numbers 39/88, 730/65, 772/130 is
GCF of Numerators i.e. for 39,730,772 is 1
LCM of denominators i.e. for 88,65,130 is 5720.
Thus, GCF of Fractions is 1/5720.Finally, GCF of Fractions for 39/88, 730/65, 772/130 is 1/5720.