GCF of 7903/218, 6084/7094
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7903/218, 6084/7094 i.e 1/773246 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7903/218, 6084/7094.
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 7903/218,6084/7094?
Given fractions are 7903/218,6084/7094
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 7903/218,6084/7094, numerators are 7903,6084
Denominators are 218,7094
The GCF of 7903,6084 is 1 .
LCM of 218,7094 is 773246.
The greatest common factor of 7903/218,6084/7094 = [GCF of 7903,6084]/[LCM of 218,7094]= 1/773246
Therefore, the GCF of 7903/218,6084/7094 is 1/773246.
To find the highest common factor of 7903,6084, we have to find the factors of both numbers and list the highest common factor.
The factors of 7903 are 1, 7, 1129, 7903
The factors of 6084 are 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 169, 234, 338, 468, 507, 676, 1014, 1521, 2028, 3042, 6084
The HCF of 7903,6084 is 1.
Lets's calculate GCF of 7903,6084
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7903,6084 By Matching Biggest Common Factor Method
Now, list down the factors of 7903
:1,7,1129,7903
Now, list down the factors of 6084
:1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,169,234,338,468,507,676,1014,1521,2028,3042,6084
Greatest Common Factor
We found the factors 7903,6084 . The biggest common factor number is the GCF number.
So the greatest common factor 7903,6084 is 1.
Lets's calculate LCM of 218,7094
| 2 | 218, 7094 |
| 109, 3547 |
∴ So the LCM of the given numbers is 2 x 109 x 3547 = 773246
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/773246
Therefore, the GCF of Fractions 7903/218,6084/7094 is 1/773246
Least Common Multiple of 218,7094 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 218,7094 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(218,7094) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(218,7094) x common factors =2 x 1 = 2
LCM(218,7094) = ( 218 × 7094 ) / 2
LCM(218,7094) = 1546492 / 2
LCM(218,7094) = 773246
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FAQs on GCF of Fractions of 7903/218, 6084/7094
1. What is the HCF of 7903,6084?
The HCF of 7903,6084 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 7903/218, 6084/7094?
Answer: GCF of Numerators as per given numbers 7903/218, 6084/7094 is
GCF of Numerators i.e. for 7903,6084 is 1
LCM of denominators i.e. for 218,7094 is 773246.
Thus, GCF of Fractions is 1/773246.Finally, GCF of Fractions for 7903/218, 6084/7094 is 1/773246.