How to Find GCF of 525/72, 770/6608?

GCF of 525/72, 770/6608

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 525/72, 770/6608 i.e 35/59472 easily. The following is the detailed procedure to determine the greatest common factor of fractions 525/72, 770/6608.

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 525/72,770/6608?

Given fractions are 525/72,770/6608

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 525/72,770/6608, numerators are 525,770

Denominators are 72,6608

The GCF of 525,770 is 35 .

LCM of 72,6608 is 59472.

The greatest common factor of 525/72,770/6608 = [GCF of 525,770]/[LCM of 72,6608]= 35/59472

Therefore, the GCF of 525/72,770/6608 is 35/59472.

Greatest Common Factor of 525,770

To find the highest common factor of 525,770, we have to find the factors of both numbers and list the highest common factor.

The factors of 525 are 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

The factors of 770 are 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

The HCF of 525,770 is 35.

Lets's calculate GCF of 525,770

Greatest Common Factor (GCF) of 525,770 By Common Division

5	525, 770
7	105, 154
	15, 22

∴ So the GCF of the given numbers is 5 x 7 = 35

Greatest Common Factor of 525,770 By Matching Biggest Common Factor Method

Now, list down the factors of 525

1,3,5,7,15,21,25,35,75,105,175,525

Now, list down the factors of 770

1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770

Greatest Common Factor

We found the factors 525,770 . The biggest common factor number is the GCF number.
So the greatest common factor 525,770 is 35.

Lets's calculate LCM of 72,6608

Lowest Common Multiple of 72,6608 using Common Division

2	72, 6608
2	36, 3304
2	18, 1652
	9, 826

∴ So the LCM of the given numbers is 2 x 2 x 2 x 9 x 826 = 59472

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 35/59472

Therefore, the GCF of Fractions 525/72,770/6608 is 35/59472

Least Common Multiple of 72,6608 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 72,6608 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,6608) = 8

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

GCF(72,6608) x common factors =8 x 1 = 8

LCM(72,6608) = ( 72 × 6608 ) / 8

LCM(72,6608) = 475776 / 8

LCM(72,6608) = 59472

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FAQs on GCF of Fractions of 525/72, 770/6608

1. What is the HCF of 525,770?

The HCF of 525,770 is 35

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 525/72, 770/6608?

Answer: GCF of Numerators as per given numbers 525/72, 770/6608 is

GCF of Numerators i.e. for 525,770 is 35

LCM of denominators i.e. for 72,6608 is 59472.

Thus, GCF of Fractions is 35/59472.Finally, GCF of Fractions for 525/72, 770/6608 is 35/59472.