GCF of 6956/240, 8362/920
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6956/240, 8362/920 i.e 74/5520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6956/240, 8362/920.
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 6956/240,8362/920?
Given fractions are 6956/240,8362/920
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 6956/240,8362/920, numerators are 6956,8362
Denominators are 240,920
The GCF of 6956,8362 is 74 .
LCM of 240,920 is 5520.
The greatest common factor of 6956/240,8362/920 = [GCF of 6956,8362]/[LCM of 240,920]= 74/5520
Therefore, the GCF of 6956/240,8362/920 is 74/5520.
To find the highest common factor of 6956,8362, we have to find the factors of both numbers and list the highest common factor.
The factors of 6956 are 1, 2, 4, 37, 47, 74, 94, 148, 188, 1739, 3478, 6956
The factors of 8362 are 1, 2, 37, 74, 113, 226, 4181, 8362
The HCF of 6956,8362 is 74.
Lets's calculate GCF of 6956,8362
| 2 | 6956, 8362 |
| 37 | 3478, 4181 |
| 94, 113 |
∴ So the GCF of the given numbers is 2 x 37 = 74
Greatest Common Factor of 6956,8362 By Matching Biggest Common Factor Method
Now, list down the factors of 6956
:1,2,4,37,47,74,94,148,188,1739,3478,6956
Now, list down the factors of 8362
:1,2,37,74,113,226,4181,8362
Greatest Common Factor
We found the factors 6956,8362 . The biggest common factor number is the GCF number.
So the greatest common factor 6956,8362 is 74.
Lets's calculate LCM of 240,920
| 2 | 240, 920 |
| 2 | 120, 460 |
| 2 | 60, 230 |
| 5 | 30, 115 |
| 6, 23 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 6 x 23 = 5520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 74/5520
Therefore, the GCF of Fractions 6956/240,8362/920 is 74/5520
Least Common Multiple of 240,920 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 240,920 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(240,920) = 40
common factors(in case of two or more numbers have common factors) = 1
GCF(240,920) x common factors =40 x 1 = 40
LCM(240,920) = ( 240 × 920 ) / 40
LCM(240,920) = 220800 / 40
LCM(240,920) = 5520
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FAQs on GCF of Fractions of 6956/240, 8362/920
1. What is the HCF of 6956,8362?
The HCF of 6956,8362 is 74
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 6956/240, 8362/920?
Answer: GCF of Numerators as per given numbers 6956/240, 8362/920 is
GCF of Numerators i.e. for 6956,8362 is 74
LCM of denominators i.e. for 240,920 is 5520.
Thus, GCF of Fractions is 74/5520.Finally, GCF of Fractions for 6956/240, 8362/920 is 74/5520.