Highest Common Factor of 872, 6628 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 872, 6628 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 872, 6628 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 872, 6628 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 872, 6628 is 4.
HCF(872, 6628) = 4
HCF of 872, 6628 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 872, 6628 is 4.
Highest Common Factor of 872,6628 is 4
Step 1: Since 6628 > 872, we apply the division lemma to 6628 and 872, to get
6628 = 872 x 7 + 524
Step 2: Since the reminder 872 ≠ 0, we apply division lemma to 524 and 872, to get
872 = 524 x 1 + 348
Step 3: We consider the new divisor 524 and the new remainder 348, and apply the division lemma to get
524 = 348 x 1 + 176
We consider the new divisor 348 and the new remainder 176,and apply the division lemma to get
348 = 176 x 1 + 172
We consider the new divisor 176 and the new remainder 172,and apply the division lemma to get
176 = 172 x 1 + 4
We consider the new divisor 172 and the new remainder 4,and apply the division lemma to get
172 = 4 x 43 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 872 and 6628 is 4
Notice that 4 = HCF(172,4) = HCF(176,172) = HCF(348,176) = HCF(524,348) = HCF(872,524) = HCF(6628,872) .
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Frequently Asked Questions on HCF of 872, 6628 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 872, 6628?
Answer: HCF of 872, 6628 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 872, 6628 using Euclid's Algorithm?
Answer: For arbitrary numbers 872, 6628 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.