GCF of 245/69, 874/428
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 245/69, 874/428 i.e 1/29532 easily. The following is the detailed procedure to determine the greatest common factor of fractions 245/69, 874/428.
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 245/69,874/428?
Given fractions are 245/69,874/428
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 245/69,874/428, numerators are 245,874
Denominators are 69,428
The GCF of 245,874 is 1 .
LCM of 69,428 is 29532.
The greatest common factor of 245/69,874/428 = [GCF of 245,874]/[LCM of 69,428]= 1/29532
Therefore, the GCF of 245/69,874/428 is 1/29532.
To find the highest common factor of 245,874, we have to find the factors of both numbers and list the highest common factor.
The factors of 245 are 1, 5, 7, 35, 49, 245
The factors of 874 are 1, 2, 19, 23, 38, 46, 437, 874
The HCF of 245,874 is 1.
Lets's calculate GCF of 245,874
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 245,874 By Matching Biggest Common Factor Method
Now, list down the factors of 245
:1,5,7,35,49,245
Now, list down the factors of 874
:1,2,19,23,38,46,437,874
Greatest Common Factor
We found the factors 245,874 . The biggest common factor number is the GCF number.
So the greatest common factor 245,874 is 1.
Lets's calculate LCM of 69,428
Given numbers has no common factors except 1. So, there LCM is their product i.e 29532
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29532
Therefore, the GCF of Fractions 245/69,874/428 is 1/29532
Least Common Multiple of 69,428 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 69,428 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,428) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(69,428) x common factors =1 x 1 = 1
LCM(69,428) = ( 69 × 428 ) / 1
LCM(69,428) = 29532 / 1
LCM(69,428) = 29532
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FAQs on GCF of Fractions of 245/69, 874/428
1. What is the HCF of 245,874?
The HCF of 245,874 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 245/69, 874/428?
Answer: GCF of Numerators as per given numbers 245/69, 874/428 is
GCF of Numerators i.e. for 245,874 is 1
LCM of denominators i.e. for 69,428 is 29532.
Thus, GCF of Fractions is 1/29532.Finally, GCF of Fractions for 245/69, 874/428 is 1/29532.