GCF of 2048/690, 7707/8112
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2048/690, 7707/8112 i.e 1/932880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2048/690, 7707/8112.
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 2048/690,7707/8112?
Given fractions are 2048/690,7707/8112
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 2048/690,7707/8112, numerators are 2048,7707
Denominators are 690,8112
The GCF of 2048,7707 is 1 .
LCM of 690,8112 is 932880.
The greatest common factor of 2048/690,7707/8112 = [GCF of 2048,7707]/[LCM of 690,8112]= 1/932880
Therefore, the GCF of 2048/690,7707/8112 is 1/932880.
To find the highest common factor of 2048,7707, we have to find the factors of both numbers and list the highest common factor.
The factors of 2048 are 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048
The factors of 7707 are 1, 3, 7, 21, 367, 1101, 2569, 7707
The HCF of 2048,7707 is 1.
Lets's calculate GCF of 2048,7707
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2048,7707 By Matching Biggest Common Factor Method
Now, list down the factors of 2048
:1,2,4,8,16,32,64,128,256,512,1024,2048
Now, list down the factors of 7707
:1,3,7,21,367,1101,2569,7707
Greatest Common Factor
We found the factors 2048,7707 . The biggest common factor number is the GCF number.
So the greatest common factor 2048,7707 is 1.
Lets's calculate LCM of 690,8112
| 2 | 690, 8112 |
| 3 | 345, 4056 |
| 115, 1352 |
∴ So the LCM of the given numbers is 2 x 3 x 115 x 1352 = 932880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/932880
Therefore, the GCF of Fractions 2048/690,7707/8112 is 1/932880
Least Common Multiple of 690,8112 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 690,8112 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(690,8112) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(690,8112) x common factors =6 x 1 = 6
LCM(690,8112) = ( 690 × 8112 ) / 6
LCM(690,8112) = 5597280 / 6
LCM(690,8112) = 932880
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FAQs on GCF of Fractions of 2048/690, 7707/8112
1. What is the HCF of 2048,7707?
The HCF of 2048,7707 is 1
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 2048/690, 7707/8112?
Answer: GCF of Numerators as per given numbers 2048/690, 7707/8112 is
GCF of Numerators i.e. for 2048,7707 is 1
LCM of denominators i.e. for 690,8112 is 932880.
Thus, GCF of Fractions is 1/932880.Finally, GCF of Fractions for 2048/690, 7707/8112 is 1/932880.