GCF of 6258/196, 8512/4270
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6258/196, 8512/4270 i.e 14/59780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6258/196, 8512/4270.
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 6258/196,8512/4270?
Given fractions are 6258/196,8512/4270
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 6258/196,8512/4270, numerators are 6258,8512
Denominators are 196,4270
The GCF of 6258,8512 is 14 .
LCM of 196,4270 is 59780.
The greatest common factor of 6258/196,8512/4270 = [GCF of 6258,8512]/[LCM of 196,4270]= 14/59780
Therefore, the GCF of 6258/196,8512/4270 is 14/59780.
To find the highest common factor of 6258,8512, we have to find the factors of both numbers and list the highest common factor.
The factors of 6258 are 1, 2, 3, 6, 7, 14, 21, 42, 149, 298, 447, 894, 1043, 2086, 3129, 6258
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 6258,8512 is 14.
Lets's calculate GCF of 6258,8512
| 2 | 6258, 8512 |
| 7 | 3129, 4256 |
| 447, 608 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 6258,8512 By Matching Biggest Common Factor Method
Now, list down the factors of 6258
:1,2,3,6,7,14,21,42,149,298,447,894,1043,2086,3129,6258
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 6258,8512 . The biggest common factor number is the GCF number.
So the greatest common factor 6258,8512 is 14.
Lets's calculate LCM of 196,4270
| 2 | 196, 4270 |
| 7 | 98, 2135 |
| 14, 305 |
∴ So the LCM of the given numbers is 2 x 7 x 14 x 305 = 59780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/59780
Therefore, the GCF of Fractions 6258/196,8512/4270 is 14/59780
Least Common Multiple of 196,4270 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 196,4270 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(196,4270) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(196,4270) x common factors =14 x 1 = 14
LCM(196,4270) = ( 196 × 4270 ) / 14
LCM(196,4270) = 836920 / 14
LCM(196,4270) = 59780
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FAQs on GCF of Fractions of 6258/196, 8512/4270
1. What is the HCF of 6258,8512?
The HCF of 6258,8512 is 14
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 6258/196, 8512/4270?
Answer: GCF of Numerators as per given numbers 6258/196, 8512/4270 is
GCF of Numerators i.e. for 6258,8512 is 14
LCM of denominators i.e. for 196,4270 is 59780.
Thus, GCF of Fractions is 14/59780.Finally, GCF of Fractions for 6258/196, 8512/4270 is 14/59780.