Highest Common Factor of 479, 852, 677 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 479, 852, 677 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 479, 852, 677 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 479, 852, 677 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 479, 852, 677 is 1.
HCF(479, 852, 677) = 1
HCF of 479, 852, 677 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 479, 852, 677 is 1.
Highest Common Factor of 479,852,677 is 1
Step 1: Since 852 > 479, we apply the division lemma to 852 and 479, to get
852 = 479 x 1 + 373
Step 2: Since the reminder 479 ≠ 0, we apply division lemma to 373 and 479, to get
479 = 373 x 1 + 106
Step 3: We consider the new divisor 373 and the new remainder 106, and apply the division lemma to get
373 = 106 x 3 + 55
We consider the new divisor 106 and the new remainder 55,and apply the division lemma to get
106 = 55 x 1 + 51
We consider the new divisor 55 and the new remainder 51,and apply the division lemma to get
55 = 51 x 1 + 4
We consider the new divisor 51 and the new remainder 4,and apply the division lemma to get
51 = 4 x 12 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 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 479 and 852 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(51,4) = HCF(55,51) = HCF(106,55) = HCF(373,106) = HCF(479,373) = HCF(852,479) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 677 > 1, we apply the division lemma to 677 and 1, to get
677 = 1 x 677 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 677 is 1
Notice that 1 = HCF(677,1) .
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Frequently Asked Questions on HCF of 479, 852, 677 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 479, 852, 677?
Answer: HCF of 479, 852, 677 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 479, 852, 677 using Euclid's Algorithm?
Answer: For arbitrary numbers 479, 852, 677 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.