GCF of 931/357, 8512/105
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 931/357, 8512/105 i.e 133/1785 easily. The following is the detailed procedure to determine the greatest common factor of fractions 931/357, 8512/105.
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 931/357,8512/105?
Given fractions are 931/357,8512/105
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 931/357,8512/105, numerators are 931,8512
Denominators are 357,105
The GCF of 931,8512 is 133 .
LCM of 357,105 is 1785.
The greatest common factor of 931/357,8512/105 = [GCF of 931,8512]/[LCM of 357,105]= 133/1785
Therefore, the GCF of 931/357,8512/105 is 133/1785.
To find the highest common factor of 931,8512, we have to find the factors of both numbers and list the highest common factor.
The factors of 931 are 1, 7, 19, 49, 133, 931
The factors of 8512 are 1, 2, 4, 7, 8, 14, 16, 19, 28, 32, 38, 56, 64, 76, 112, 133, 152, 224, 266, 304, 448, 532, 608, 1064, 1216, 2128, 4256, 8512
The HCF of 931,8512 is 133.
Lets's calculate GCF of 931,8512
| 7 | 931, 8512 |
| 19 | 133, 1216 |
| 7, 64 |
∴ So the GCF of the given numbers is 7 x 19 = 133
Greatest Common Factor of 931,8512 By Matching Biggest Common Factor Method
Now, list down the factors of 931
:1,7,19,49,133,931
Now, list down the factors of 8512
:1,2,4,7,8,14,16,19,28,32,38,56,64,76,112,133,152,224,266,304,448,532,608,1064,1216,2128,4256,8512
Greatest Common Factor
We found the factors 931,8512 . The biggest common factor number is the GCF number.
So the greatest common factor 931,8512 is 133.
Lets's calculate LCM of 357,105
| 3 | 357, 105 |
| 7 | 119, 35 |
| 17, 5 |
∴ So the LCM of the given numbers is 3 x 7 x 17 x 5 = 1785
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 133/1785
Therefore, the GCF of Fractions 931/357,8512/105 is 133/1785
Least Common Multiple of 357,105 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 357,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(357,105) = 21
common factors(in case of two or more numbers have common factors) = 1
GCF(357,105) x common factors =21 x 1 = 21
LCM(357,105) = ( 357 × 105 ) / 21
LCM(357,105) = 37485 / 21
LCM(357,105) = 1785
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FAQs on GCF of Fractions of 931/357, 8512/105
1. What is the HCF of 931,8512?
The HCF of 931,8512 is 133
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 931/357, 8512/105?
Answer: GCF of Numerators as per given numbers 931/357, 8512/105 is
GCF of Numerators i.e. for 931,8512 is 133
LCM of denominators i.e. for 357,105 is 1785.
Thus, GCF of Fractions is 133/1785.Finally, GCF of Fractions for 931/357, 8512/105 is 133/1785.