GCF of 720/688, 361/203, 709/776
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 720/688, 361/203, 709/776 i.e 1/13547408 easily. The following is the detailed procedure to determine the greatest common factor of fractions 720/688, 361/203, 709/776.
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 720/688,361/203,709/776?
Given fractions are 720/688,361/203,709/776
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 720/688,361/203,709/776, numerators are 720,361,709
Denominators are 688,203,776
The GCF of 720,361,709 is 1 .
LCM of 688,203,776 is 13547408.
The greatest common factor of 720/688,361/203,709/776 = [GCF of 720,361,709]/[LCM of 688,203,776]= 1/13547408
Therefore, the GCF of 720/688,361/203,709/776 is 1/13547408.
To find the highest common factor of 720,361,709, we have to find the factors of both numbers and list the highest common factor.
The factors of 720 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
The factors of 361 are 1, 19, 361
The factors of 709 are 1, 709
The HCF of 720,361,709 is 1.
Lets's calculate GCF of 720,361,709
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 720,361,709 By Matching Biggest Common Factor Method
Now, list down the factors of 720
:1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720
Now, list down the factors of 361
:1,19,361
Now, list down the factors of 709
:1,709
Greatest Common Factor
We found the factors 720,361,709 . The biggest common factor number is the GCF number.
So the greatest common factor 720,361,709 is 1.
Lets's calculate LCM of 688,203,776
| 2 | 688, 203, 776 |
| 2 | 344, 203, 388 |
| 2 | 172, 203, 194 |
| 86, 203, 97 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 86 x 203 x 97 = 13547408
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13547408
Therefore, the GCF of Fractions 720/688,361/203,709/776 is 1/13547408
Least Common Multiple of 688,203,776 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 688,203,776 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(688,203,776) = 1
common factors(in case of two or more numbers have common factors) = 8
GCF(688,203,776) x common factors =1 x 8 = 8
LCM(688,203,776) = ( 688 × 203 × 776 ) / 8
LCM(688,203,776) = 108379264 / 8
LCM(688,203,776) = 13547408
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FAQs on GCF of Fractions of 720/688, 361/203, 709/776
1. What is the HCF of 720,361,709?
The HCF of 720,361,709 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 720/688, 361/203, 709/776?
Answer: GCF of Numerators as per given numbers 720/688, 361/203, 709/776 is
GCF of Numerators i.e. for 720,361,709 is 1
LCM of denominators i.e. for 688,203,776 is 13547408.
Thus, GCF of Fractions is 1/13547408.Finally, GCF of Fractions for 720/688, 361/203, 709/776 is 1/13547408.