GCF of 1942/658, 7968/168
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1942/658, 7968/168 i.e 2/7896 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1942/658, 7968/168.
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 1942/658,7968/168?
Given fractions are 1942/658,7968/168
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 1942/658,7968/168, numerators are 1942,7968
Denominators are 658,168
The GCF of 1942,7968 is 2 .
LCM of 658,168 is 7896.
The greatest common factor of 1942/658,7968/168 = [GCF of 1942,7968]/[LCM of 658,168]= 2/7896
Therefore, the GCF of 1942/658,7968/168 is 2/7896.
To find the highest common factor of 1942,7968, we have to find the factors of both numbers and list the highest common factor.
The factors of 1942 are 1, 2, 971, 1942
The factors of 7968 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 83, 96, 166, 249, 332, 498, 664, 996, 1328, 1992, 2656, 3984, 7968
The HCF of 1942,7968 is 2.
Lets's calculate GCF of 1942,7968
| 2 | 1942, 7968 |
| 971, 3984 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1942,7968 By Matching Biggest Common Factor Method
Now, list down the factors of 1942
:1,2,971,1942
Now, list down the factors of 7968
:1,2,3,4,6,8,12,16,24,32,48,83,96,166,249,332,498,664,996,1328,1992,2656,3984,7968
Greatest Common Factor
We found the factors 1942,7968 . The biggest common factor number is the GCF number.
So the greatest common factor 1942,7968 is 2.
Lets's calculate LCM of 658,168
| 2 | 658, 168 |
| 7 | 329, 84 |
| 47, 12 |
∴ So the LCM of the given numbers is 2 x 7 x 47 x 12 = 7896
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7896
Therefore, the GCF of Fractions 1942/658,7968/168 is 2/7896
Least Common Multiple of 658,168 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 658,168 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(658,168) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(658,168) x common factors =14 x 1 = 14
LCM(658,168) = ( 658 × 168 ) / 14
LCM(658,168) = 110544 / 14
LCM(658,168) = 7896
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FAQs on GCF of Fractions of 1942/658, 7968/168
1. What is the HCF of 1942,7968?
The HCF of 1942,7968 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 1942/658, 7968/168?
Answer: GCF of Numerators as per given numbers 1942/658, 7968/168 is
GCF of Numerators i.e. for 1942,7968 is 2
LCM of denominators i.e. for 658,168 is 7896.
Thus, GCF of Fractions is 2/7896.Finally, GCF of Fractions for 1942/658, 7968/168 is 2/7896.