GCF of 7790/867, 8840/6920
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7790/867, 8840/6920 i.e 10/5999640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7790/867, 8840/6920.
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 7790/867,8840/6920?
Given fractions are 7790/867,8840/6920
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 7790/867,8840/6920, numerators are 7790,8840
Denominators are 867,6920
The GCF of 7790,8840 is 10 .
LCM of 867,6920 is 5999640.
The greatest common factor of 7790/867,8840/6920 = [GCF of 7790,8840]/[LCM of 867,6920]= 10/5999640
Therefore, the GCF of 7790/867,8840/6920 is 10/5999640.
To find the highest common factor of 7790,8840, we have to find the factors of both numbers and list the highest common factor.
The factors of 7790 are 1, 2, 5, 10, 19, 38, 41, 82, 95, 190, 205, 410, 779, 1558, 3895, 7790
The factors of 8840 are 1, 2, 4, 5, 8, 10, 13, 17, 20, 26, 34, 40, 52, 65, 68, 85, 104, 130, 136, 170, 221, 260, 340, 442, 520, 680, 884, 1105, 1768, 2210, 4420, 8840
The HCF of 7790,8840 is 10.
Lets's calculate GCF of 7790,8840
| 2 | 7790, 8840 |
| 5 | 3895, 4420 |
| 779, 884 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 7790,8840 By Matching Biggest Common Factor Method
Now, list down the factors of 7790
:1,2,5,10,19,38,41,82,95,190,205,410,779,1558,3895,7790
Now, list down the factors of 8840
:1,2,4,5,8,10,13,17,20,26,34,40,52,65,68,85,104,130,136,170,221,260,340,442,520,680,884,1105,1768,2210,4420,8840
Greatest Common Factor
We found the factors 7790,8840 . The biggest common factor number is the GCF number.
So the greatest common factor 7790,8840 is 10.
Lets's calculate LCM of 867,6920
Given numbers has no common factors except 1. So, there LCM is their product i.e 5999640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/5999640
Therefore, the GCF of Fractions 7790/867,8840/6920 is 10/5999640
Least Common Multiple of 867,6920 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 867,6920 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(867,6920) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(867,6920) x common factors =1 x 1 = 1
LCM(867,6920) = ( 867 × 6920 ) / 1
LCM(867,6920) = 5999640 / 1
LCM(867,6920) = 5999640
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FAQs on GCF of Fractions of 7790/867, 8840/6920
1. What is the HCF of 7790,8840?
The HCF of 7790,8840 is 10
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 7790/867, 8840/6920?
Answer: GCF of Numerators as per given numbers 7790/867, 8840/6920 is
GCF of Numerators i.e. for 7790,8840 is 10
LCM of denominators i.e. for 867,6920 is 5999640.
Thus, GCF of Fractions is 10/5999640.Finally, GCF of Fractions for 7790/867, 8840/6920 is 10/5999640.