GCF of 784/687, 6076/6488
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 784/687, 6076/6488 i.e 196/4457256 easily. The following is the detailed procedure to determine the greatest common factor of fractions 784/687, 6076/6488.
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 784/687,6076/6488?
Given fractions are 784/687,6076/6488
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 784/687,6076/6488, numerators are 784,6076
Denominators are 687,6488
The GCF of 784,6076 is 196 .
LCM of 687,6488 is 4457256.
The greatest common factor of 784/687,6076/6488 = [GCF of 784,6076]/[LCM of 687,6488]= 196/4457256
Therefore, the GCF of 784/687,6076/6488 is 196/4457256.
To find the highest common factor of 784,6076, we have to find the factors of both numbers and list the highest common factor.
The factors of 784 are 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
The factors of 6076 are 1, 2, 4, 7, 14, 28, 31, 49, 62, 98, 124, 196, 217, 434, 868, 1519, 3038, 6076
The HCF of 784,6076 is 196.
Lets's calculate GCF of 784,6076
| 2 | 784, 6076 |
| 2 | 392, 3038 |
| 7 | 196, 1519 |
| 7 | 28, 217 |
| 4, 31 |
∴ So the GCF of the given numbers is 2 x 2 x 7 x 7 = 196
Greatest Common Factor of 784,6076 By Matching Biggest Common Factor Method
Now, list down the factors of 784
:1,2,4,7,8,14,16,28,49,56,98,112,196,392,784
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
Greatest Common Factor
We found the factors 784,6076 . The biggest common factor number is the GCF number.
So the greatest common factor 784,6076 is 196.
Lets's calculate LCM of 687,6488
Given numbers has no common factors except 1. So, there LCM is their product i.e 4457256
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 196/4457256
Therefore, the GCF of Fractions 784/687,6076/6488 is 196/4457256
Least Common Multiple of 687,6488 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 687,6488 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(687,6488) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(687,6488) x common factors =1 x 1 = 1
LCM(687,6488) = ( 687 × 6488 ) / 1
LCM(687,6488) = 4457256 / 1
LCM(687,6488) = 4457256
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FAQs on GCF of Fractions of 784/687, 6076/6488
1. What is the HCF of 784,6076?
The HCF of 784,6076 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 784/687, 6076/6488?
Answer: GCF of Numerators as per given numbers 784/687, 6076/6488 is
GCF of Numerators i.e. for 784,6076 is 196
LCM of denominators i.e. for 687,6488 is 4457256.
Thus, GCF of Fractions is 196/4457256.Finally, GCF of Fractions for 784/687, 6076/6488 is 196/4457256.