Highest Common Factor of 855, 476 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 855, 476 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 855, 476 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 855, 476 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 855, 476 is 1.
HCF(855, 476) = 1
HCF of 855, 476 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 855, 476 is 1.
Highest Common Factor of 855,476 is 1
Step 1: Since 855 > 476, we apply the division lemma to 855 and 476, to get
855 = 476 x 1 + 379
Step 2: Since the reminder 476 ≠ 0, we apply division lemma to 379 and 476, to get
476 = 379 x 1 + 97
Step 3: We consider the new divisor 379 and the new remainder 97, and apply the division lemma to get
379 = 97 x 3 + 88
We consider the new divisor 97 and the new remainder 88,and apply the division lemma to get
97 = 88 x 1 + 9
We consider the new divisor 88 and the new remainder 9,and apply the division lemma to get
88 = 9 x 9 + 7
We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get
9 = 7 x 1 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 855 and 476 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(88,9) = HCF(97,88) = HCF(379,97) = HCF(476,379) = HCF(855,476) .
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Frequently Asked Questions on HCF of 855, 476 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 855, 476?
Answer: HCF of 855, 476 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 855, 476 using Euclid's Algorithm?
Answer: For arbitrary numbers 855, 476 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.