GCF of 7053/710, 7354/178
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7053/710, 7354/178 i.e 1/63190 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7053/710, 7354/178.
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 7053/710,7354/178?
Given fractions are 7053/710,7354/178
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 7053/710,7354/178, numerators are 7053,7354
Denominators are 710,178
The GCF of 7053,7354 is 1 .
LCM of 710,178 is 63190.
The greatest common factor of 7053/710,7354/178 = [GCF of 7053,7354]/[LCM of 710,178]= 1/63190
Therefore, the GCF of 7053/710,7354/178 is 1/63190.
To find the highest common factor of 7053,7354, we have to find the factors of both numbers and list the highest common factor.
The factors of 7053 are 1, 3, 2351, 7053
The factors of 7354 are 1, 2, 3677, 7354
The HCF of 7053,7354 is 1.
Lets's calculate GCF of 7053,7354
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7053,7354 By Matching Biggest Common Factor Method
Now, list down the factors of 7053
:1,3,2351,7053
Now, list down the factors of 7354
:1,2,3677,7354
Greatest Common Factor
We found the factors 7053,7354 . The biggest common factor number is the GCF number.
So the greatest common factor 7053,7354 is 1.
Lets's calculate LCM of 710,178
| 2 | 710, 178 |
| 355, 89 |
∴ So the LCM of the given numbers is 2 x 355 x 89 = 63190
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/63190
Therefore, the GCF of Fractions 7053/710,7354/178 is 1/63190
Least Common Multiple of 710,178 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 710,178 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(710,178) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(710,178) x common factors =2 x 1 = 2
LCM(710,178) = ( 710 × 178 ) / 2
LCM(710,178) = 126380 / 2
LCM(710,178) = 63190
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FAQs on GCF of Fractions of 7053/710, 7354/178
1. What is the HCF of 7053,7354?
The HCF of 7053,7354 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 7053/710, 7354/178?
Answer: GCF of Numerators as per given numbers 7053/710, 7354/178 is
GCF of Numerators i.e. for 7053,7354 is 1
LCM of denominators i.e. for 710,178 is 63190.
Thus, GCF of Fractions is 1/63190.Finally, GCF of Fractions for 7053/710, 7354/178 is 1/63190.