GCF of 6919/224, 8112/1670
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6919/224, 8112/1670 i.e 1/187040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6919/224, 8112/1670.
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 6919/224,8112/1670?
Given fractions are 6919/224,8112/1670
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 6919/224,8112/1670, numerators are 6919,8112
Denominators are 224,1670
The GCF of 6919,8112 is 1 .
LCM of 224,1670 is 187040.
The greatest common factor of 6919/224,8112/1670 = [GCF of 6919,8112]/[LCM of 224,1670]= 1/187040
Therefore, the GCF of 6919/224,8112/1670 is 1/187040.
To find the highest common factor of 6919,8112, we have to find the factors of both numbers and list the highest common factor.
The factors of 6919 are 1, 11, 17, 37, 187, 407, 629, 6919
The factors of 8112 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 169, 208, 312, 338, 507, 624, 676, 1014, 1352, 2028, 2704, 4056, 8112
The HCF of 6919,8112 is 1.
Lets's calculate GCF of 6919,8112
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6919,8112 By Matching Biggest Common Factor Method
Now, list down the factors of 6919
:1,11,17,37,187,407,629,6919
Now, list down the factors of 8112
:1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,169,208,312,338,507,624,676,1014,1352,2028,2704,4056,8112
Greatest Common Factor
We found the factors 6919,8112 . The biggest common factor number is the GCF number.
So the greatest common factor 6919,8112 is 1.
Lets's calculate LCM of 224,1670
| 2 | 224, 1670 |
| 112, 835 |
∴ So the LCM of the given numbers is 2 x 112 x 835 = 187040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/187040
Therefore, the GCF of Fractions 6919/224,8112/1670 is 1/187040
Least Common Multiple of 224,1670 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 224,1670 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(224,1670) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(224,1670) x common factors =2 x 1 = 2
LCM(224,1670) = ( 224 × 1670 ) / 2
LCM(224,1670) = 374080 / 2
LCM(224,1670) = 187040
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FAQs on GCF of Fractions of 6919/224, 8112/1670
1. What is the HCF of 6919,8112?
The HCF of 6919,8112 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 6919/224, 8112/1670?
Answer: GCF of Numerators as per given numbers 6919/224, 8112/1670 is
GCF of Numerators i.e. for 6919,8112 is 1
LCM of denominators i.e. for 224,1670 is 187040.
Thus, GCF of Fractions is 1/187040.Finally, GCF of Fractions for 6919/224, 8112/1670 is 1/187040.