GCF of 62/671, 358/785, 224/154
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 62/671, 358/785, 224/154 i.e 2/7374290 easily. The following is the detailed procedure to determine the greatest common factor of fractions 62/671, 358/785, 224/154.
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 62/671,358/785,224/154?
Given fractions are 62/671,358/785,224/154
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 62/671,358/785,224/154, numerators are 62,358,224
Denominators are 671,785,154
The GCF of 62,358,224 is 2 .
LCM of 671,785,154 is 7374290.
The greatest common factor of 62/671,358/785,224/154 = [GCF of 62,358,224]/[LCM of 671,785,154]= 2/7374290
Therefore, the GCF of 62/671,358/785,224/154 is 2/7374290.
To find the highest common factor of 62,358,224, we have to find the factors of both numbers and list the highest common factor.
The factors of 62 are 1, 2, 31, 62
The factors of 358 are 1, 2, 179, 358
The factors of 224 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
The HCF of 62,358,224 is 2.
Lets's calculate GCF of 62,358,224
| 2 | 62, 358, 224 |
| 31, 179, 112 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 62,358,224 By Matching Biggest Common Factor Method
Now, list down the factors of 62
:1,2,31,62
Now, list down the factors of 358
:1,2,179,358
Now, list down the factors of 224
:1,2,4,7,8,14,16,28,32,56,112,224
Greatest Common Factor
We found the factors 62,358,224 . The biggest common factor number is the GCF number.
So the greatest common factor 62,358,224 is 2.
Lets's calculate LCM of 671,785,154
| 11 | 671, 785, 154 |
| 61, 785, 14 |
∴ So the LCM of the given numbers is 11 x 61 x 785 x 14 = 7374290
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7374290
Therefore, the GCF of Fractions 62/671,358/785,224/154 is 2/7374290
Least Common Multiple of 671,785,154 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 671,785,154 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(671,785,154) = 1
common factors(in case of two or more numbers have common factors) = 11
GCF(671,785,154) x common factors =1 x 11 = 11
LCM(671,785,154) = ( 671 × 785 × 154 ) / 11
LCM(671,785,154) = 81117190 / 11
LCM(671,785,154) = 7374290
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 62/671, 358/785, 224/154
1. What is the HCF of 62,358,224?
The HCF of 62,358,224 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 62/671, 358/785, 224/154?
Answer: GCF of Numerators as per given numbers 62/671, 358/785, 224/154 is
GCF of Numerators i.e. for 62,358,224 is 2
LCM of denominators i.e. for 671,785,154 is 7374290.
Thus, GCF of Fractions is 2/7374290.Finally, GCF of Fractions for 62/671, 358/785, 224/154 is 2/7374290.