GCF of 7092/578, 1434/209
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7092/578, 1434/209 i.e 6/120802 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7092/578, 1434/209.
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 7092/578,1434/209?
Given fractions are 7092/578,1434/209
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 7092/578,1434/209, numerators are 7092,1434
Denominators are 578,209
The GCF of 7092,1434 is 6 .
LCM of 578,209 is 120802.
The greatest common factor of 7092/578,1434/209 = [GCF of 7092,1434]/[LCM of 578,209]= 6/120802
Therefore, the GCF of 7092/578,1434/209 is 6/120802.
To find the highest common factor of 7092,1434, we have to find the factors of both numbers and list the highest common factor.
The factors of 7092 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 197, 394, 591, 788, 1182, 1773, 2364, 3546, 7092
The factors of 1434 are 1, 2, 3, 6, 239, 478, 717, 1434
The HCF of 7092,1434 is 6.
Lets's calculate GCF of 7092,1434
| 2 | 7092, 1434 |
| 3 | 3546, 717 |
| 1182, 239 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 7092,1434 By Matching Biggest Common Factor Method
Now, list down the factors of 7092
:1,2,3,4,6,9,12,18,36,197,394,591,788,1182,1773,2364,3546,7092
Now, list down the factors of 1434
:1,2,3,6,239,478,717,1434
Greatest Common Factor
We found the factors 7092,1434 . The biggest common factor number is the GCF number.
So the greatest common factor 7092,1434 is 6.
Lets's calculate LCM of 578,209
Given numbers has no common factors except 1. So, there LCM is their product i.e 120802
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/120802
Therefore, the GCF of Fractions 7092/578,1434/209 is 6/120802
Least Common Multiple of 578,209 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 578,209 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(578,209) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(578,209) x common factors =1 x 1 = 1
LCM(578,209) = ( 578 × 209 ) / 1
LCM(578,209) = 120802 / 1
LCM(578,209) = 120802
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FAQs on GCF of Fractions of 7092/578, 1434/209
1. What is the HCF of 7092,1434?
The HCF of 7092,1434 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 7092/578, 1434/209?
Answer: GCF of Numerators as per given numbers 7092/578, 1434/209 is
GCF of Numerators i.e. for 7092,1434 is 6
LCM of denominators i.e. for 578,209 is 120802.
Thus, GCF of Fractions is 6/120802.Finally, GCF of Fractions for 7092/578, 1434/209 is 6/120802.