GCF of 548/68, 946/1386
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 548/68, 946/1386 i.e 2/47124 easily. The following is the detailed procedure to determine the greatest common factor of fractions 548/68, 946/1386.
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 548/68,946/1386?
Given fractions are 548/68,946/1386
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 548/68,946/1386, numerators are 548,946
Denominators are 68,1386
The GCF of 548,946 is 2 .
LCM of 68,1386 is 47124.
The greatest common factor of 548/68,946/1386 = [GCF of 548,946]/[LCM of 68,1386]= 2/47124
Therefore, the GCF of 548/68,946/1386 is 2/47124.
To find the highest common factor of 548,946, we have to find the factors of both numbers and list the highest common factor.
The factors of 548 are 1, 2, 4, 137, 274, 548
The factors of 946 are 1, 2, 11, 22, 43, 86, 473, 946
The HCF of 548,946 is 2.
Lets's calculate GCF of 548,946
| 2 | 548, 946 |
| 274, 473 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 548,946 By Matching Biggest Common Factor Method
Now, list down the factors of 548
:1,2,4,137,274,548
Now, list down the factors of 946
:1,2,11,22,43,86,473,946
Greatest Common Factor
We found the factors 548,946 . The biggest common factor number is the GCF number.
So the greatest common factor 548,946 is 2.
Lets's calculate LCM of 68,1386
| 2 | 68, 1386 |
| 34, 693 |
∴ So the LCM of the given numbers is 2 x 34 x 693 = 47124
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/47124
Therefore, the GCF of Fractions 548/68,946/1386 is 2/47124
Least Common Multiple of 68,1386 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 68,1386 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,1386) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(68,1386) x common factors =2 x 1 = 2
LCM(68,1386) = ( 68 × 1386 ) / 2
LCM(68,1386) = 94248 / 2
LCM(68,1386) = 47124
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FAQs on GCF of Fractions of 548/68, 946/1386
1. What is the HCF of 548,946?
The HCF of 548,946 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 548/68, 946/1386?
Answer: GCF of Numerators as per given numbers 548/68, 946/1386 is
GCF of Numerators i.e. for 548,946 is 2
LCM of denominators i.e. for 68,1386 is 47124.
Thus, GCF of Fractions is 2/47124.Finally, GCF of Fractions for 548/68, 946/1386 is 2/47124.