GCF of 5972/136, 7707/4656
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5972/136, 7707/4656 i.e 1/79152 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5972/136, 7707/4656.
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 5972/136,7707/4656?
Given fractions are 5972/136,7707/4656
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 5972/136,7707/4656, numerators are 5972,7707
Denominators are 136,4656
The GCF of 5972,7707 is 1 .
LCM of 136,4656 is 79152.
The greatest common factor of 5972/136,7707/4656 = [GCF of 5972,7707]/[LCM of 136,4656]= 1/79152
Therefore, the GCF of 5972/136,7707/4656 is 1/79152.
To find the highest common factor of 5972,7707, we have to find the factors of both numbers and list the highest common factor.
The factors of 5972 are 1, 2, 4, 1493, 2986, 5972
The factors of 7707 are 1, 3, 7, 21, 367, 1101, 2569, 7707
The HCF of 5972,7707 is 1.
Lets's calculate GCF of 5972,7707
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5972,7707 By Matching Biggest Common Factor Method
Now, list down the factors of 5972
:1,2,4,1493,2986,5972
Now, list down the factors of 7707
:1,3,7,21,367,1101,2569,7707
Greatest Common Factor
We found the factors 5972,7707 . The biggest common factor number is the GCF number.
So the greatest common factor 5972,7707 is 1.
Lets's calculate LCM of 136,4656
| 2 | 136, 4656 |
| 2 | 68, 2328 |
| 2 | 34, 1164 |
| 17, 582 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 17 x 582 = 79152
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/79152
Therefore, the GCF of Fractions 5972/136,7707/4656 is 1/79152
Least Common Multiple of 136,4656 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 136,4656 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(136,4656) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(136,4656) x common factors =8 x 1 = 8
LCM(136,4656) = ( 136 × 4656 ) / 8
LCM(136,4656) = 633216 / 8
LCM(136,4656) = 79152
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FAQs on GCF of Fractions of 5972/136, 7707/4656
1. What is the HCF of 5972,7707?
The HCF of 5972,7707 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 5972/136, 7707/4656?
Answer: GCF of Numerators as per given numbers 5972/136, 7707/4656 is
GCF of Numerators i.e. for 5972,7707 is 1
LCM of denominators i.e. for 136,4656 is 79152.
Thus, GCF of Fractions is 1/79152.Finally, GCF of Fractions for 5972/136, 7707/4656 is 1/79152.