GCF of 7030/547, 6574/425
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7030/547, 6574/425 i.e 38/232475 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7030/547, 6574/425.
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 7030/547,6574/425?
Given fractions are 7030/547,6574/425
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 7030/547,6574/425, numerators are 7030,6574
Denominators are 547,425
The GCF of 7030,6574 is 38 .
LCM of 547,425 is 232475.
The greatest common factor of 7030/547,6574/425 = [GCF of 7030,6574]/[LCM of 547,425]= 38/232475
Therefore, the GCF of 7030/547,6574/425 is 38/232475.
To find the highest common factor of 7030,6574, we have to find the factors of both numbers and list the highest common factor.
The factors of 7030 are 1, 2, 5, 10, 19, 37, 38, 74, 95, 185, 190, 370, 703, 1406, 3515, 7030
The factors of 6574 are 1, 2, 19, 38, 173, 346, 3287, 6574
The HCF of 7030,6574 is 38.
Lets's calculate GCF of 7030,6574
| 2 | 7030, 6574 |
| 19 | 3515, 3287 |
| 185, 173 |
∴ So the GCF of the given numbers is 2 x 19 = 38
Greatest Common Factor of 7030,6574 By Matching Biggest Common Factor Method
Now, list down the factors of 7030
:1,2,5,10,19,37,38,74,95,185,190,370,703,1406,3515,7030
Now, list down the factors of 6574
:1,2,19,38,173,346,3287,6574
Greatest Common Factor
We found the factors 7030,6574 . The biggest common factor number is the GCF number.
So the greatest common factor 7030,6574 is 38.
Lets's calculate LCM of 547,425
Given numbers has no common factors except 1. So, there LCM is their product i.e 232475
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 38/232475
Therefore, the GCF of Fractions 7030/547,6574/425 is 38/232475
Least Common Multiple of 547,425 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 547,425 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(547,425) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(547,425) x common factors =1 x 1 = 1
LCM(547,425) = ( 547 × 425 ) / 1
LCM(547,425) = 232475 / 1
LCM(547,425) = 232475
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FAQs on GCF of Fractions of 7030/547, 6574/425
1. What is the HCF of 7030,6574?
The HCF of 7030,6574 is 38
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 7030/547, 6574/425?
Answer: GCF of Numerators as per given numbers 7030/547, 6574/425 is
GCF of Numerators i.e. for 7030,6574 is 38
LCM of denominators i.e. for 547,425 is 232475.
Thus, GCF of Fractions is 38/232475.Finally, GCF of Fractions for 7030/547, 6574/425 is 38/232475.