Highest Common Factor of 851, 602, 755 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 851, 602, 755 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 851, 602, 755 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 851, 602, 755 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 851, 602, 755 is 1.

HCF(851, 602, 755) = 1

HCF of 851, 602, 755 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 851, 602, 755 is 1.

Highest Common Factor of 851,602,755 using Euclid's algorithm

Highest Common Factor of 851,602,755 is 1

Step 1: Since 851 > 602, we apply the division lemma to 851 and 602, to get

851 = 602 x 1 + 249

Step 2: Since the reminder 602 ≠ 0, we apply division lemma to 249 and 602, to get

602 = 249 x 2 + 104

Step 3: We consider the new divisor 249 and the new remainder 104, and apply the division lemma to get

249 = 104 x 2 + 41

We consider the new divisor 104 and the new remainder 41,and apply the division lemma to get

104 = 41 x 2 + 22

We consider the new divisor 41 and the new remainder 22,and apply the division lemma to get

41 = 22 x 1 + 19

We consider the new divisor 22 and the new remainder 19,and apply the division lemma to get

22 = 19 x 1 + 3

We consider the new divisor 19 and the new remainder 3,and apply the division lemma to get

19 = 3 x 6 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 851 and 602 is 1

Notice that 1 = HCF(3,1) = HCF(19,3) = HCF(22,19) = HCF(41,22) = HCF(104,41) = HCF(249,104) = HCF(602,249) = HCF(851,602) .

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

Step 1: Since 755 > 1, we apply the division lemma to 755 and 1, to get

755 = 1 x 755 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 755 is 1

Notice that 1 = HCF(755,1) .

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Frequently Asked Questions on HCF of 851, 602, 755 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 851, 602, 755?

Answer: HCF of 851, 602, 755 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 851, 602, 755 using Euclid's Algorithm?

Answer: For arbitrary numbers 851, 602, 755 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.