GCF of 20/655, 374/785, 537/762
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 20/655, 374/785, 537/762 i.e 1/78360270 easily. The following is the detailed procedure to determine the greatest common factor of fractions 20/655, 374/785, 537/762.
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 20/655,374/785,537/762?
Given fractions are 20/655,374/785,537/762
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 20/655,374/785,537/762, numerators are 20,374,537
Denominators are 655,785,762
The GCF of 20,374,537 is 1 .
LCM of 655,785,762 is 78360270.
The greatest common factor of 20/655,374/785,537/762 = [GCF of 20,374,537]/[LCM of 655,785,762]= 1/78360270
Therefore, the GCF of 20/655,374/785,537/762 is 1/78360270.
To find the highest common factor of 20,374,537, we have to find the factors of both numbers and list the highest common factor.
The factors of 20 are 1, 2, 4, 5, 10, 20
The factors of 374 are 1, 2, 11, 17, 22, 34, 187, 374
The factors of 537 are 1, 3, 179, 537
The HCF of 20,374,537 is 1.
Lets's calculate GCF of 20,374,537
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 20,374,537 By Matching Biggest Common Factor Method
Now, list down the factors of 20
:1,2,4,5,10,20
Now, list down the factors of 374
:1,2,11,17,22,34,187,374
Now, list down the factors of 537
:1,3,179,537
Greatest Common Factor
We found the factors 20,374,537 . The biggest common factor number is the GCF number.
So the greatest common factor 20,374,537 is 1.
Lets's calculate LCM of 655,785,762
| 5 | 655, 785, 762 |
| 131, 157, 762 |
∴ So the LCM of the given numbers is 5 x 131 x 157 x 762 = 78360270
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/78360270
Therefore, the GCF of Fractions 20/655,374/785,537/762 is 1/78360270
Least Common Multiple of 655,785,762 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 655,785,762 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(655,785,762) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(655,785,762) x common factors =1 x 5 = 5
LCM(655,785,762) = ( 655 × 785 × 762 ) / 5
LCM(655,785,762) = 391801350 / 5
LCM(655,785,762) = 78360270
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FAQs on GCF of Fractions of 20/655, 374/785, 537/762
1. What is the HCF of 20,374,537?
The HCF of 20,374,537 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 20/655, 374/785, 537/762?
Answer: GCF of Numerators as per given numbers 20/655, 374/785, 537/762 is
GCF of Numerators i.e. for 20,374,537 is 1
LCM of denominators i.e. for 655,785,762 is 78360270.
Thus, GCF of Fractions is 1/78360270.Finally, GCF of Fractions for 20/655, 374/785, 537/762 is 1/78360270.