Highest Common Factor of 858, 682, 763 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 858, 682, 763 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 858, 682, 763 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 858, 682, 763 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 858, 682, 763 is 1.
HCF(858, 682, 763) = 1
HCF of 858, 682, 763 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 858, 682, 763 is 1.
Highest Common Factor of 858,682,763 is 1
Step 1: Since 858 > 682, we apply the division lemma to 858 and 682, to get
858 = 682 x 1 + 176
Step 2: Since the reminder 682 ≠ 0, we apply division lemma to 176 and 682, to get
682 = 176 x 3 + 154
Step 3: We consider the new divisor 176 and the new remainder 154, and apply the division lemma to get
176 = 154 x 1 + 22
We consider the new divisor 154 and the new remainder 22, and apply the division lemma to get
154 = 22 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 22, the HCF of 858 and 682 is 22
Notice that 22 = HCF(154,22) = HCF(176,154) = HCF(682,176) = HCF(858,682) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 763 > 22, we apply the division lemma to 763 and 22, to get
763 = 22 x 34 + 15
Step 2: Since the reminder 22 ≠ 0, we apply division lemma to 15 and 22, to get
22 = 15 x 1 + 7
Step 3: We consider the new divisor 15 and the new remainder 7, and apply the division lemma to get
15 = 7 x 2 + 1
We consider the new divisor 7 and the new remainder 1, and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 22 and 763 is 1
Notice that 1 = HCF(7,1) = HCF(15,7) = HCF(22,15) = HCF(763,22) .
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Frequently Asked Questions on HCF of 858, 682, 763 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 858, 682, 763?
Answer: HCF of 858, 682, 763 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 858, 682, 763 using Euclid's Algorithm?
Answer: For arbitrary numbers 858, 682, 763 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.