GCF of 4208/742, 7944/4132
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4208/742, 7944/4132 i.e 8/1532972 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4208/742, 7944/4132.
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 4208/742,7944/4132?
Given fractions are 4208/742,7944/4132
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 4208/742,7944/4132, numerators are 4208,7944
Denominators are 742,4132
The GCF of 4208,7944 is 8 .
LCM of 742,4132 is 1532972.
The greatest common factor of 4208/742,7944/4132 = [GCF of 4208,7944]/[LCM of 742,4132]= 8/1532972
Therefore, the GCF of 4208/742,7944/4132 is 8/1532972.
To find the highest common factor of 4208,7944, we have to find the factors of both numbers and list the highest common factor.
The factors of 4208 are 1, 2, 4, 8, 16, 263, 526, 1052, 2104, 4208
The factors of 7944 are 1, 2, 3, 4, 6, 8, 12, 24, 331, 662, 993, 1324, 1986, 2648, 3972, 7944
The HCF of 4208,7944 is 8.
Lets's calculate GCF of 4208,7944
| 2 | 4208, 7944 |
| 2 | 2104, 3972 |
| 2 | 1052, 1986 |
| 526, 993 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 4208,7944 By Matching Biggest Common Factor Method
Now, list down the factors of 4208
:1,2,4,8,16,263,526,1052,2104,4208
Now, list down the factors of 7944
:1,2,3,4,6,8,12,24,331,662,993,1324,1986,2648,3972,7944
Greatest Common Factor
We found the factors 4208,7944 . The biggest common factor number is the GCF number.
So the greatest common factor 4208,7944 is 8.
Lets's calculate LCM of 742,4132
| 2 | 742, 4132 |
| 371, 2066 |
∴ So the LCM of the given numbers is 2 x 371 x 2066 = 1532972
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/1532972
Therefore, the GCF of Fractions 4208/742,7944/4132 is 8/1532972
Least Common Multiple of 742,4132 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 742,4132 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(742,4132) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(742,4132) x common factors =2 x 1 = 2
LCM(742,4132) = ( 742 × 4132 ) / 2
LCM(742,4132) = 3065944 / 2
LCM(742,4132) = 1532972
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FAQs on GCF of Fractions of 4208/742, 7944/4132
1. What is the HCF of 4208,7944?
The HCF of 4208,7944 is 8
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 4208/742, 7944/4132?
Answer: GCF of Numerators as per given numbers 4208/742, 7944/4132 is
GCF of Numerators i.e. for 4208,7944 is 8
LCM of denominators i.e. for 742,4132 is 1532972.
Thus, GCF of Fractions is 8/1532972.Finally, GCF of Fractions for 4208/742, 7944/4132 is 8/1532972.