GCF of 912/564, 354/519
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 912/564, 354/519 i.e 6/97572 easily. The following is the detailed procedure to determine the greatest common factor of fractions 912/564, 354/519.
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 912/564,354/519?
Given fractions are 912/564,354/519
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 912/564,354/519, numerators are 912,354
Denominators are 564,519
The GCF of 912,354 is 6 .
LCM of 564,519 is 97572.
The greatest common factor of 912/564,354/519 = [GCF of 912,354]/[LCM of 564,519]= 6/97572
Therefore, the GCF of 912/564,354/519 is 6/97572.
To find the highest common factor of 912,354, we have to find the factors of both numbers and list the highest common factor.
The factors of 912 are 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
The factors of 354 are 1, 2, 3, 6, 59, 118, 177, 354
The HCF of 912,354 is 6.
Lets's calculate GCF of 912,354
| 2 | 912, 354 |
| 3 | 456, 177 |
| 152, 59 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 912,354 By Matching Biggest Common Factor Method
Now, list down the factors of 912
:1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912
Now, list down the factors of 354
:1,2,3,6,59,118,177,354
Greatest Common Factor
We found the factors 912,354 . The biggest common factor number is the GCF number.
So the greatest common factor 912,354 is 6.
Lets's calculate LCM of 564,519
| 3 | 564, 519 |
| 188, 173 |
∴ So the LCM of the given numbers is 3 x 188 x 173 = 97572
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/97572
Therefore, the GCF of Fractions 912/564,354/519 is 6/97572
Least Common Multiple of 564,519 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 564,519 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(564,519) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(564,519) x common factors =3 x 1 = 3
LCM(564,519) = ( 564 × 519 ) / 3
LCM(564,519) = 292716 / 3
LCM(564,519) = 97572
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 912/564, 354/519
1. What is the HCF of 912,354?
The HCF of 912,354 is 6
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 912/564, 354/519?
Answer: GCF of Numerators as per given numbers 912/564, 354/519 is
GCF of Numerators i.e. for 912,354 is 6
LCM of denominators i.e. for 564,519 is 97572.
Thus, GCF of Fractions is 6/97572.Finally, GCF of Fractions for 912/564, 354/519 is 6/97572.