Highest Common Factor of 676, 5828 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 676, 5828 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 676, 5828 is 4 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 676, 5828 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 676, 5828 is 4.
HCF(676, 5828) = 4
HCF of 676, 5828 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 676, 5828 is 4.
Highest Common Factor of 676,5828 is 4
Step 1: Since 5828 > 676, we apply the division lemma to 5828 and 676, to get
5828 = 676 x 8 + 420
Step 2: Since the reminder 676 ≠ 0, we apply division lemma to 420 and 676, to get
676 = 420 x 1 + 256
Step 3: We consider the new divisor 420 and the new remainder 256, and apply the division lemma to get
420 = 256 x 1 + 164
We consider the new divisor 256 and the new remainder 164,and apply the division lemma to get
256 = 164 x 1 + 92
We consider the new divisor 164 and the new remainder 92,and apply the division lemma to get
164 = 92 x 1 + 72
We consider the new divisor 92 and the new remainder 72,and apply the division lemma to get
92 = 72 x 1 + 20
We consider the new divisor 72 and the new remainder 20,and apply the division lemma to get
72 = 20 x 3 + 12
We consider the new divisor 20 and the new remainder 12,and apply the division lemma to get
20 = 12 x 1 + 8
We consider the new divisor 12 and the new remainder 8,and apply the division lemma to get
12 = 8 x 1 + 4
We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get
8 = 4 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 676 and 5828 is 4
Notice that 4 = HCF(8,4) = HCF(12,8) = HCF(20,12) = HCF(72,20) = HCF(92,72) = HCF(164,92) = HCF(256,164) = HCF(420,256) = HCF(676,420) = HCF(5828,676) .
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Frequently Asked Questions on HCF of 676, 5828 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 676, 5828?
Answer: HCF of 676, 5828 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 676, 5828 using Euclid's Algorithm?
Answer: For arbitrary numbers 676, 5828 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.