How to Find GCF of 8930/107, 9050/7052?

GCF of 8930/107, 9050/7052

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 8930/107, 9050/7052 i.e 10/754564 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8930/107, 9050/7052.

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 8930/107,9050/7052?

Given fractions are 8930/107,9050/7052

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 8930/107,9050/7052, numerators are 8930,9050

Denominators are 107,7052

The GCF of 8930,9050 is 10 .

LCM of 107,7052 is 754564.

The greatest common factor of 8930/107,9050/7052 = [GCF of 8930,9050]/[LCM of 107,7052]= 10/754564

Therefore, the GCF of 8930/107,9050/7052 is 10/754564.

Greatest Common Factor of 8930,9050

To find the highest common factor of 8930,9050, we have to find the factors of both numbers and list the highest common factor.

The factors of 8930 are 1, 2, 5, 10, 19, 38, 47, 94, 95, 190, 235, 470, 893, 1786, 4465, 8930

The factors of 9050 are 1, 2, 5, 10, 25, 50, 181, 362, 905, 1810, 4525, 9050

The HCF of 8930,9050 is 10.

Lets's calculate GCF of 8930,9050

Greatest Common Factor (GCF) of 8930,9050 By Common Division

2	8930, 9050
5	4465, 4525
	893, 905

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 8930,9050 By Matching Biggest Common Factor Method

Now, list down the factors of 8930

1,2,5,10,19,38,47,94,95,190,235,470,893,1786,4465,8930

Now, list down the factors of 9050

1,2,5,10,25,50,181,362,905,1810,4525,9050

Greatest Common Factor

We found the factors 8930,9050 . The biggest common factor number is the GCF number.
So the greatest common factor 8930,9050 is 10.

Lets's calculate LCM of 107,7052

Lowest Common Multiple of 107,7052 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 754564

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/754564

Therefore, the GCF of Fractions 8930/107,9050/7052 is 10/754564

Least Common Multiple of 107,7052 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 107,7052 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(107,7052) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(107,7052) x common factors =1 x 1 = 1

LCM(107,7052) = ( 107 × 7052 ) / 1

LCM(107,7052) = 754564 / 1

LCM(107,7052) = 754564

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FAQs on GCF of Fractions of 8930/107, 9050/7052

1. What is the HCF of 8930,9050?

The HCF of 8930,9050 is 10

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 8930/107, 9050/7052?

Answer: GCF of Numerators as per given numbers 8930/107, 9050/7052 is

GCF of Numerators i.e. for 8930,9050 is 10

LCM of denominators i.e. for 107,7052 is 754564.

Thus, GCF of Fractions is 10/754564.Finally, GCF of Fractions for 8930/107, 9050/7052 is 10/754564.