GCF of 88/385, 545/500, 785/784
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 88/385, 545/500, 785/784 i.e 1/1078000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 88/385, 545/500, 785/784.
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 88/385,545/500,785/784?
Given fractions are 88/385,545/500,785/784
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 88/385,545/500,785/784, numerators are 88,545,785
Denominators are 385,500,784
The GCF of 88,545,785 is 1 .
LCM of 385,500,784 is 1078000.
The greatest common factor of 88/385,545/500,785/784 = [GCF of 88,545,785]/[LCM of 385,500,784]= 1/1078000
Therefore, the GCF of 88/385,545/500,785/784 is 1/1078000.
To find the highest common factor of 88,545,785, we have to find the factors of both numbers and list the highest common factor.
The factors of 88 are 1, 2, 4, 8, 11, 22, 44, 88
The factors of 545 are 1, 5, 109, 545
The factors of 785 are 1, 5, 157, 785
The HCF of 88,545,785 is 1.
Lets's calculate GCF of 88,545,785
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 88,545,785 By Matching Biggest Common Factor Method
Now, list down the factors of 88
:1,2,4,8,11,22,44,88
Now, list down the factors of 545
:1,5,109,545
Now, list down the factors of 785
:1,5,157,785
Greatest Common Factor
We found the factors 88,545,785 . The biggest common factor number is the GCF number.
So the greatest common factor 88,545,785 is 1.
Lets's calculate LCM of 385,500,784
| 2 | 385, 500, 784 |
| 2 | 385, 250, 392 |
| 5 | 385, 125, 196 |
| 7 | 77, 25, 196 |
| 11, 25, 28 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 7 x 11 x 25 x 28 = 1078000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1078000
Therefore, the GCF of Fractions 88/385,545/500,785/784 is 1/1078000
Least Common Multiple of 385,500,784 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 385,500,784 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(385,500,784) = 1
common factors(in case of two or more numbers have common factors) = 140
GCF(385,500,784) x common factors =1 x 140 = 140
LCM(385,500,784) = ( 385 × 500 × 784 ) / 140
LCM(385,500,784) = 150920000 / 140
LCM(385,500,784) = 1078000
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FAQs on GCF of Fractions of 88/385, 545/500, 785/784
1. What is the HCF of 88,545,785?
The HCF of 88,545,785 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 88/385, 545/500, 785/784?
Answer: GCF of Numerators as per given numbers 88/385, 545/500, 785/784 is
GCF of Numerators i.e. for 88,545,785 is 1
LCM of denominators i.e. for 385,500,784 is 1078000.
Thus, GCF of Fractions is 1/1078000.Finally, GCF of Fractions for 88/385, 545/500, 785/784 is 1/1078000.