GCF of 807/74, 874/6022
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 807/74, 874/6022 i.e 1/222814 easily. The following is the detailed procedure to determine the greatest common factor of fractions 807/74, 874/6022.
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 807/74,874/6022?
Given fractions are 807/74,874/6022
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 807/74,874/6022, numerators are 807,874
Denominators are 74,6022
The GCF of 807,874 is 1 .
LCM of 74,6022 is 222814.
The greatest common factor of 807/74,874/6022 = [GCF of 807,874]/[LCM of 74,6022]= 1/222814
Therefore, the GCF of 807/74,874/6022 is 1/222814.
To find the highest common factor of 807,874, we have to find the factors of both numbers and list the highest common factor.
The factors of 807 are 1, 3, 269, 807
The factors of 874 are 1, 2, 19, 23, 38, 46, 437, 874
The HCF of 807,874 is 1.
Lets's calculate GCF of 807,874
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 807,874 By Matching Biggest Common Factor Method
Now, list down the factors of 807
:1,3,269,807
Now, list down the factors of 874
:1,2,19,23,38,46,437,874
Greatest Common Factor
We found the factors 807,874 . The biggest common factor number is the GCF number.
So the greatest common factor 807,874 is 1.
Lets's calculate LCM of 74,6022
| 2 | 74, 6022 |
| 37, 3011 |
∴ So the LCM of the given numbers is 2 x 37 x 3011 = 222814
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/222814
Therefore, the GCF of Fractions 807/74,874/6022 is 1/222814
Least Common Multiple of 74,6022 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 74,6022 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,6022) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(74,6022) x common factors =2 x 1 = 2
LCM(74,6022) = ( 74 × 6022 ) / 2
LCM(74,6022) = 445628 / 2
LCM(74,6022) = 222814
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FAQs on GCF of Fractions of 807/74, 874/6022
1. What is the HCF of 807,874?
The HCF of 807,874 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 807/74, 874/6022?
Answer: GCF of Numerators as per given numbers 807/74, 874/6022 is
GCF of Numerators i.e. for 807,874 is 1
LCM of denominators i.e. for 74,6022 is 222814.
Thus, GCF of Fractions is 1/222814.Finally, GCF of Fractions for 807/74, 874/6022 is 1/222814.