GCF of 7056/878, 2530/3476
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7056/878, 2530/3476 i.e 2/1525964 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7056/878, 2530/3476.
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 7056/878,2530/3476?
Given fractions are 7056/878,2530/3476
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 7056/878,2530/3476, numerators are 7056,2530
Denominators are 878,3476
The GCF of 7056,2530 is 2 .
LCM of 878,3476 is 1525964.
The greatest common factor of 7056/878,2530/3476 = [GCF of 7056,2530]/[LCM of 878,3476]= 2/1525964
Therefore, the GCF of 7056/878,2530/3476 is 2/1525964.
To find the highest common factor of 7056,2530, we have to find the factors of both numbers and list the highest common factor.
The factors of 7056 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 48, 49, 56, 63, 72, 84, 98, 112, 126, 144, 147, 168, 196, 252, 294, 336, 392, 441, 504, 588, 784, 882, 1008, 1176, 1764, 2352, 3528, 7056
The factors of 2530 are 1, 2, 5, 10, 11, 22, 23, 46, 55, 110, 115, 230, 253, 506, 1265, 2530
The HCF of 7056,2530 is 2.
Lets's calculate GCF of 7056,2530
| 2 | 7056, 2530 |
| 3528, 1265 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7056,2530 By Matching Biggest Common Factor Method
Now, list down the factors of 7056
:1,2,3,4,6,7,8,9,12,14,16,18,21,24,28,36,42,48,49,56,63,72,84,98,112,126,144,147,168,196,252,294,336,392,441,504,588,784,882,1008,1176,1764,2352,3528,7056
Now, list down the factors of 2530
:1,2,5,10,11,22,23,46,55,110,115,230,253,506,1265,2530
Greatest Common Factor
We found the factors 7056,2530 . The biggest common factor number is the GCF number.
So the greatest common factor 7056,2530 is 2.
Lets's calculate LCM of 878,3476
| 2 | 878, 3476 |
| 439, 1738 |
∴ So the LCM of the given numbers is 2 x 439 x 1738 = 1525964
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1525964
Therefore, the GCF of Fractions 7056/878,2530/3476 is 2/1525964
Least Common Multiple of 878,3476 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 878,3476 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(878,3476) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(878,3476) x common factors =2 x 1 = 2
LCM(878,3476) = ( 878 × 3476 ) / 2
LCM(878,3476) = 3051928 / 2
LCM(878,3476) = 1525964
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 7056/878, 2530/3476
1. What is the HCF of 7056,2530?
The HCF of 7056,2530 is 2
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 7056/878, 2530/3476?
Answer: GCF of Numerators as per given numbers 7056/878, 2530/3476 is
GCF of Numerators i.e. for 7056,2530 is 2
LCM of denominators i.e. for 878,3476 is 1525964.
Thus, GCF of Fractions is 2/1525964.Finally, GCF of Fractions for 7056/878, 2530/3476 is 2/1525964.