GCF of 6076/555, 7254/3634
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6076/555, 7254/3634 i.e 62/2016870 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6076/555, 7254/3634.
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 6076/555,7254/3634?
Given fractions are 6076/555,7254/3634
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 6076/555,7254/3634, numerators are 6076,7254
Denominators are 555,3634
The GCF of 6076,7254 is 62 .
LCM of 555,3634 is 2016870.
The greatest common factor of 6076/555,7254/3634 = [GCF of 6076,7254]/[LCM of 555,3634]= 62/2016870
Therefore, the GCF of 6076/555,7254/3634 is 62/2016870.
To find the highest common factor of 6076,7254, we have to find the factors of both numbers and list the highest common factor.
The factors of 6076 are 1, 2, 4, 7, 14, 28, 31, 49, 62, 98, 124, 196, 217, 434, 868, 1519, 3038, 6076
The factors of 7254 are 1, 2, 3, 6, 9, 13, 18, 26, 31, 39, 62, 78, 93, 117, 186, 234, 279, 403, 558, 806, 1209, 2418, 3627, 7254
The HCF of 6076,7254 is 62.
Lets's calculate GCF of 6076,7254
| 2 | 6076, 7254 |
| 31 | 3038, 3627 |
| 98, 117 |
∴ So the GCF of the given numbers is 2 x 31 = 62
Greatest Common Factor of 6076,7254 By Matching Biggest Common Factor Method
Now, list down the factors of 6076
:1,2,4,7,14,28,31,49,62,98,124,196,217,434,868,1519,3038,6076
Now, list down the factors of 7254
:1,2,3,6,9,13,18,26,31,39,62,78,93,117,186,234,279,403,558,806,1209,2418,3627,7254
Greatest Common Factor
We found the factors 6076,7254 . The biggest common factor number is the GCF number.
So the greatest common factor 6076,7254 is 62.
Lets's calculate LCM of 555,3634
Given numbers has no common factors except 1. So, there LCM is their product i.e 2016870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 62/2016870
Therefore, the GCF of Fractions 6076/555,7254/3634 is 62/2016870
Least Common Multiple of 555,3634 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 555,3634 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(555,3634) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(555,3634) x common factors =1 x 1 = 1
LCM(555,3634) = ( 555 × 3634 ) / 1
LCM(555,3634) = 2016870 / 1
LCM(555,3634) = 2016870
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FAQs on GCF of Fractions of 6076/555, 7254/3634
1. What is the HCF of 6076,7254?
The HCF of 6076,7254 is 62
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 6076/555, 7254/3634?
Answer: GCF of Numerators as per given numbers 6076/555, 7254/3634 is
GCF of Numerators i.e. for 6076,7254 is 62
LCM of denominators i.e. for 555,3634 is 2016870.
Thus, GCF of Fractions is 62/2016870.Finally, GCF of Fractions for 6076/555, 7254/3634 is 62/2016870.