GCF of 48/841, 36/270, 962/435
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 48/841, 36/270, 962/435 i.e 2/227070 easily. The following is the detailed procedure to determine the greatest common factor of fractions 48/841, 36/270, 962/435.
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 48/841,36/270,962/435?
Given fractions are 48/841,36/270,962/435
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 48/841,36/270,962/435, numerators are 48,36,962
Denominators are 841,270,435
The GCF of 48,36,962 is 2 .
LCM of 841,270,435 is 227070.
The greatest common factor of 48/841,36/270,962/435 = [GCF of 48,36,962]/[LCM of 841,270,435]= 2/227070
Therefore, the GCF of 48/841,36/270,962/435 is 2/227070.
To find the highest common factor of 48,36,962, we have to find the factors of both numbers and list the highest common factor.
The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36
The factors of 962 are 1, 2, 13, 26, 37, 74, 481, 962
The HCF of 48,36,962 is 2.
Lets's calculate GCF of 48,36,962
| 2 | 48, 36, 962 |
| 24, 18, 481 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 48,36,962 By Matching Biggest Common Factor Method
Now, list down the factors of 48
:1,2,3,4,6,8,12,16,24,48
Now, list down the factors of 36
:1,2,3,4,6,9,12,18,36
Now, list down the factors of 962
:1,2,13,26,37,74,481,962
Greatest Common Factor
We found the factors 48,36,962 . The biggest common factor number is the GCF number.
So the greatest common factor 48,36,962 is 2.
Lets's calculate LCM of 841,270,435
| 3 | 841, 270, 435 |
| 5 | 841, 90, 145 |
| 29 | 841, 18, 29 |
| 1, 18, 29 |
∴ So the LCM of the given numbers is 3 x 5 x 29 x 1 x 18 x 29 = 227070
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/227070
Therefore, the GCF of Fractions 48/841,36/270,962/435 is 2/227070
Least Common Multiple of 841,270,435 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 841,270,435 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(841,270,435) = 1
common factors(in case of two or more numbers have common factors) = 435
GCF(841,270,435) x common factors =1 x 435 = 435
LCM(841,270,435) = ( 841 × 270 × 435 ) / 435
LCM(841,270,435) = 98775450 / 435
LCM(841,270,435) = 227070
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FAQs on GCF of Fractions of 48/841, 36/270, 962/435
1. What is the HCF of 48,36,962?
The HCF of 48,36,962 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 48/841, 36/270, 962/435?
Answer: GCF of Numerators as per given numbers 48/841, 36/270, 962/435 is
GCF of Numerators i.e. for 48,36,962 is 2
LCM of denominators i.e. for 841,270,435 is 227070.
Thus, GCF of Fractions is 2/227070.Finally, GCF of Fractions for 48/841, 36/270, 962/435 is 2/227070.