GCF of 6298/402, 1139/2546
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6298/402, 1139/2546 i.e 67/7638 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6298/402, 1139/2546.
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 6298/402,1139/2546?
Given fractions are 6298/402,1139/2546
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 6298/402,1139/2546, numerators are 6298,1139
Denominators are 402,2546
The GCF of 6298,1139 is 67 .
LCM of 402,2546 is 7638.
The greatest common factor of 6298/402,1139/2546 = [GCF of 6298,1139]/[LCM of 402,2546]= 67/7638
Therefore, the GCF of 6298/402,1139/2546 is 67/7638.
To find the highest common factor of 6298,1139, we have to find the factors of both numbers and list the highest common factor.
The factors of 6298 are 1, 2, 47, 67, 94, 134, 3149, 6298
The factors of 1139 are 1, 17, 67, 1139
The HCF of 6298,1139 is 67.
Lets's calculate GCF of 6298,1139
| 67 | 6298, 1139 |
| 94, 17 |
∴ So the GCF of the given numbers is 67 = 67
Greatest Common Factor of 6298,1139 By Matching Biggest Common Factor Method
Now, list down the factors of 6298
:1,2,47,67,94,134,3149,6298
Now, list down the factors of 1139
:1,17,67,1139
Greatest Common Factor
We found the factors 6298,1139 . The biggest common factor number is the GCF number.
So the greatest common factor 6298,1139 is 67.
Lets's calculate LCM of 402,2546
| 2 | 402, 2546 |
| 67 | 201, 1273 |
| 3, 19 |
∴ So the LCM of the given numbers is 2 x 67 x 3 x 19 = 7638
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 67/7638
Therefore, the GCF of Fractions 6298/402,1139/2546 is 67/7638
Least Common Multiple of 402,2546 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 402,2546 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(402,2546) = 134
common factors(in case of two or more numbers have common factors) = 1
GCF(402,2546) x common factors =134 x 1 = 134
LCM(402,2546) = ( 402 × 2546 ) / 134
LCM(402,2546) = 1023492 / 134
LCM(402,2546) = 7638
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FAQs on GCF of Fractions of 6298/402, 1139/2546
1. What is the HCF of 6298,1139?
The HCF of 6298,1139 is 67
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 6298/402, 1139/2546?
Answer: GCF of Numerators as per given numbers 6298/402, 1139/2546 is
GCF of Numerators i.e. for 6298,1139 is 67
LCM of denominators i.e. for 402,2546 is 7638.
Thus, GCF of Fractions is 67/7638.Finally, GCF of Fractions for 6298/402, 1139/2546 is 67/7638.