GCF of 6076/878, 3528/2149
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6076/878, 3528/2149 i.e 196/1886822 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6076/878, 3528/2149.
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 6076/878,3528/2149?
Given fractions are 6076/878,3528/2149
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 6076/878,3528/2149, numerators are 6076,3528
Denominators are 878,2149
The GCF of 6076,3528 is 196 .
LCM of 878,2149 is 1886822.
The greatest common factor of 6076/878,3528/2149 = [GCF of 6076,3528]/[LCM of 878,2149]= 196/1886822
Therefore, the GCF of 6076/878,3528/2149 is 196/1886822.
To find the highest common factor of 6076,3528, 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 3528 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 49, 56, 63, 72, 84, 98, 126, 147, 168, 196, 252, 294, 392, 441, 504, 588, 882, 1176, 1764, 3528
The HCF of 6076,3528 is 196.
Lets's calculate GCF of 6076,3528
| 2 | 6076, 3528 |
| 2 | 3038, 1764 |
| 7 | 1519, 882 |
| 7 | 217, 126 |
| 31, 18 |
∴ So the GCF of the given numbers is 2 x 2 x 7 x 7 = 196
Greatest Common Factor of 6076,3528 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 3528
:1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,49,56,63,72,84,98,126,147,168,196,252,294,392,441,504,588,882,1176,1764,3528
Greatest Common Factor
We found the factors 6076,3528 . The biggest common factor number is the GCF number.
So the greatest common factor 6076,3528 is 196.
Lets's calculate LCM of 878,2149
Given numbers has no common factors except 1. So, there LCM is their product i.e 1886822
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 196/1886822
Therefore, the GCF of Fractions 6076/878,3528/2149 is 196/1886822
Least Common Multiple of 878,2149 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 878,2149 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(878,2149) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(878,2149) x common factors =1 x 1 = 1
LCM(878,2149) = ( 878 × 2149 ) / 1
LCM(878,2149) = 1886822 / 1
LCM(878,2149) = 1886822
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FAQs on GCF of Fractions of 6076/878, 3528/2149
1. What is the HCF of 6076,3528?
The HCF of 6076,3528 is 196
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 6076/878, 3528/2149?
Answer: GCF of Numerators as per given numbers 6076/878, 3528/2149 is
GCF of Numerators i.e. for 6076,3528 is 196
LCM of denominators i.e. for 878,2149 is 1886822.
Thus, GCF of Fractions is 196/1886822.Finally, GCF of Fractions for 6076/878, 3528/2149 is 196/1886822.