GCF of 7002/370, 6274/178
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7002/370, 6274/178 i.e 2/32930 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7002/370, 6274/178.
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 7002/370,6274/178?
Given fractions are 7002/370,6274/178
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 7002/370,6274/178, numerators are 7002,6274
Denominators are 370,178
The GCF of 7002,6274 is 2 .
LCM of 370,178 is 32930.
The greatest common factor of 7002/370,6274/178 = [GCF of 7002,6274]/[LCM of 370,178]= 2/32930
Therefore, the GCF of 7002/370,6274/178 is 2/32930.
To find the highest common factor of 7002,6274, we have to find the factors of both numbers and list the highest common factor.
The factors of 7002 are 1, 2, 3, 6, 9, 18, 389, 778, 1167, 2334, 3501, 7002
The factors of 6274 are 1, 2, 3137, 6274
The HCF of 7002,6274 is 2.
Lets's calculate GCF of 7002,6274
| 2 | 7002, 6274 |
| 3501, 3137 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7002,6274 By Matching Biggest Common Factor Method
Now, list down the factors of 7002
:1,2,3,6,9,18,389,778,1167,2334,3501,7002
Now, list down the factors of 6274
:1,2,3137,6274
Greatest Common Factor
We found the factors 7002,6274 . The biggest common factor number is the GCF number.
So the greatest common factor 7002,6274 is 2.
Lets's calculate LCM of 370,178
| 2 | 370, 178 |
| 185, 89 |
∴ So the LCM of the given numbers is 2 x 185 x 89 = 32930
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/32930
Therefore, the GCF of Fractions 7002/370,6274/178 is 2/32930
Least Common Multiple of 370,178 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 370,178 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(370,178) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(370,178) x common factors =2 x 1 = 2
LCM(370,178) = ( 370 × 178 ) / 2
LCM(370,178) = 65860 / 2
LCM(370,178) = 32930
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FAQs on GCF of Fractions of 7002/370, 6274/178
1. What is the HCF of 7002,6274?
The HCF of 7002,6274 is 2
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 7002/370, 6274/178?
Answer: GCF of Numerators as per given numbers 7002/370, 6274/178 is
GCF of Numerators i.e. for 7002,6274 is 2
LCM of denominators i.e. for 370,178 is 32930.
Thus, GCF of Fractions is 2/32930.Finally, GCF of Fractions for 7002/370, 6274/178 is 2/32930.