GCF of 7814/546, 1233/1770
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7814/546, 1233/1770 i.e 1/161070 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7814/546, 1233/1770.
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 7814/546,1233/1770?
Given fractions are 7814/546,1233/1770
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 7814/546,1233/1770, numerators are 7814,1233
Denominators are 546,1770
The GCF of 7814,1233 is 1 .
LCM of 546,1770 is 161070.
The greatest common factor of 7814/546,1233/1770 = [GCF of 7814,1233]/[LCM of 546,1770]= 1/161070
Therefore, the GCF of 7814/546,1233/1770 is 1/161070.
To find the highest common factor of 7814,1233, we have to find the factors of both numbers and list the highest common factor.
The factors of 7814 are 1, 2, 3907, 7814
The factors of 1233 are 1, 3, 9, 137, 411, 1233
The HCF of 7814,1233 is 1.
Lets's calculate GCF of 7814,1233
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7814,1233 By Matching Biggest Common Factor Method
Now, list down the factors of 7814
:1,2,3907,7814
Now, list down the factors of 1233
:1,3,9,137,411,1233
Greatest Common Factor
We found the factors 7814,1233 . The biggest common factor number is the GCF number.
So the greatest common factor 7814,1233 is 1.
Lets's calculate LCM of 546,1770
| 2 | 546, 1770 |
| 3 | 273, 885 |
| 91, 295 |
∴ So the LCM of the given numbers is 2 x 3 x 91 x 295 = 161070
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/161070
Therefore, the GCF of Fractions 7814/546,1233/1770 is 1/161070
Least Common Multiple of 546,1770 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 546,1770 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(546,1770) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(546,1770) x common factors =6 x 1 = 6
LCM(546,1770) = ( 546 × 1770 ) / 6
LCM(546,1770) = 966420 / 6
LCM(546,1770) = 161070
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FAQs on GCF of Fractions of 7814/546, 1233/1770
1. What is the HCF of 7814,1233?
The HCF of 7814,1233 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 7814/546, 1233/1770?
Answer: GCF of Numerators as per given numbers 7814/546, 1233/1770 is
GCF of Numerators i.e. for 7814,1233 is 1
LCM of denominators i.e. for 546,1770 is 161070.
Thus, GCF of Fractions is 1/161070.Finally, GCF of Fractions for 7814/546, 1233/1770 is 1/161070.