GCF of 7148/602, 8072/5624
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7148/602, 8072/5624 i.e 4/1692824 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7148/602, 8072/5624.
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 7148/602,8072/5624?
Given fractions are 7148/602,8072/5624
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 7148/602,8072/5624, numerators are 7148,8072
Denominators are 602,5624
The GCF of 7148,8072 is 4 .
LCM of 602,5624 is 1692824.
The greatest common factor of 7148/602,8072/5624 = [GCF of 7148,8072]/[LCM of 602,5624]= 4/1692824
Therefore, the GCF of 7148/602,8072/5624 is 4/1692824.
To find the highest common factor of 7148,8072, we have to find the factors of both numbers and list the highest common factor.
The factors of 7148 are 1, 2, 4, 1787, 3574, 7148
The factors of 8072 are 1, 2, 4, 8, 1009, 2018, 4036, 8072
The HCF of 7148,8072 is 4.
Lets's calculate GCF of 7148,8072
| 2 | 7148, 8072 |
| 2 | 3574, 4036 |
| 1787, 2018 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 7148,8072 By Matching Biggest Common Factor Method
Now, list down the factors of 7148
:1,2,4,1787,3574,7148
Now, list down the factors of 8072
:1,2,4,8,1009,2018,4036,8072
Greatest Common Factor
We found the factors 7148,8072 . The biggest common factor number is the GCF number.
So the greatest common factor 7148,8072 is 4.
Lets's calculate LCM of 602,5624
| 2 | 602, 5624 |
| 301, 2812 |
∴ So the LCM of the given numbers is 2 x 301 x 2812 = 1692824
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1692824
Therefore, the GCF of Fractions 7148/602,8072/5624 is 4/1692824
Least Common Multiple of 602,5624 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 602,5624 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(602,5624) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(602,5624) x common factors =2 x 1 = 2
LCM(602,5624) = ( 602 × 5624 ) / 2
LCM(602,5624) = 3385648 / 2
LCM(602,5624) = 1692824
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FAQs on GCF of Fractions of 7148/602, 8072/5624
1. What is the HCF of 7148,8072?
The HCF of 7148,8072 is 4
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 7148/602, 8072/5624?
Answer: GCF of Numerators as per given numbers 7148/602, 8072/5624 is
GCF of Numerators i.e. for 7148,8072 is 4
LCM of denominators i.e. for 602,5624 is 1692824.
Thus, GCF of Fractions is 4/1692824.Finally, GCF of Fractions for 7148/602, 8072/5624 is 4/1692824.