GCF of 48/970, 251/702, 650/988
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 48/970, 251/702, 650/988 i.e 1/12937860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 48/970, 251/702, 650/988.
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 48/970,251/702,650/988?
Given fractions are 48/970,251/702,650/988
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 48/970,251/702,650/988, numerators are 48,251,650
Denominators are 970,702,988
The GCF of 48,251,650 is 1 .
LCM of 970,702,988 is 12937860.
The greatest common factor of 48/970,251/702,650/988 = [GCF of 48,251,650]/[LCM of 970,702,988]= 1/12937860
Therefore, the GCF of 48/970,251/702,650/988 is 1/12937860.
To find the highest common factor of 48,251,650, 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 251 are 1, 251
The factors of 650 are 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
The HCF of 48,251,650 is 1.
Lets's calculate GCF of 48,251,650
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 48,251,650 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 251
:1,251
Now, list down the factors of 650
:1,2,5,10,13,25,26,50,65,130,325,650
Greatest Common Factor
We found the factors 48,251,650 . The biggest common factor number is the GCF number.
So the greatest common factor 48,251,650 is 1.
Lets's calculate LCM of 970,702,988
| 2 | 970, 702, 988 |
| 13 | 485, 351, 494 |
| 485, 27, 38 |
∴ So the LCM of the given numbers is 2 x 13 x 485 x 27 x 38 = 12937860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12937860
Therefore, the GCF of Fractions 48/970,251/702,650/988 is 1/12937860
Least Common Multiple of 970,702,988 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 970,702,988 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(970,702,988) = 2
common factors(in case of two or more numbers have common factors) = 26
GCF(970,702,988) x common factors =2 x 26 = 52
LCM(970,702,988) = ( 970 × 702 × 988 ) / 52
LCM(970,702,988) = 672768720 / 52
LCM(970,702,988) = 12937860
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FAQs on GCF of Fractions of 48/970, 251/702, 650/988
1. What is the HCF of 48,251,650?
The HCF of 48,251,650 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 48/970, 251/702, 650/988?
Answer: GCF of Numerators as per given numbers 48/970, 251/702, 650/988 is
GCF of Numerators i.e. for 48,251,650 is 1
LCM of denominators i.e. for 970,702,988 is 12937860.
Thus, GCF of Fractions is 1/12937860.Finally, GCF of Fractions for 48/970, 251/702, 650/988 is 1/12937860.