Highest Common Factor of 6711, 7507, 95195 using Euclid's algorithm

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 6711, 7507, 95195 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6711, 7507, 95195 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.

Consider we have numbers 6711, 7507, 95195 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b

Highest common factor (HCF) of 6711, 7507, 95195 is 1.

HCF(6711, 7507, 95195) = 1

HCF of 6711, 7507, 95195 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

HCF of:

Highest common factor (HCF) of 6711, 7507, 95195 is 1.

Highest Common Factor of 6711,7507,95195 using Euclid's algorithm

Highest Common Factor of 6711,7507,95195 is 1

Step 1: Since 7507 > 6711, we apply the division lemma to 7507 and 6711, to get

7507 = 6711 x 1 + 796

Step 2: Since the reminder 6711 ≠ 0, we apply division lemma to 796 and 6711, to get

6711 = 796 x 8 + 343

Step 3: We consider the new divisor 796 and the new remainder 343, and apply the division lemma to get

796 = 343 x 2 + 110

We consider the new divisor 343 and the new remainder 110,and apply the division lemma to get

343 = 110 x 3 + 13

We consider the new divisor 110 and the new remainder 13,and apply the division lemma to get

110 = 13 x 8 + 6

We consider the new divisor 13 and the new remainder 6,and apply the division lemma to get

13 = 6 x 2 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6711 and 7507 is 1

Notice that 1 = HCF(6,1) = HCF(13,6) = HCF(110,13) = HCF(343,110) = HCF(796,343) = HCF(6711,796) = HCF(7507,6711) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 95195 > 1, we apply the division lemma to 95195 and 1, to get

95195 = 1 x 95195 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 95195 is 1

Notice that 1 = HCF(95195,1) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 6711, 7507, 95195 using Euclid's Algorithm

1. What is the Euclid division algorithm?

Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.

2. what is the HCF of 6711, 7507, 95195?

Answer: HCF of 6711, 7507, 95195 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6711, 7507, 95195 using Euclid's Algorithm?

Answer: For arbitrary numbers 6711, 7507, 95195 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.