Highest Common Factor of 8436, 6676 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 8436, 6676 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 8436, 6676 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 8436, 6676 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 8436, 6676 is 4.
HCF(8436, 6676) = 4
HCF of 8436, 6676 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8436, 6676 is 4.
Highest Common Factor of 8436,6676 is 4
Step 1: Since 8436 > 6676, we apply the division lemma to 8436 and 6676, to get
8436 = 6676 x 1 + 1760
Step 2: Since the reminder 6676 ≠ 0, we apply division lemma to 1760 and 6676, to get
6676 = 1760 x 3 + 1396
Step 3: We consider the new divisor 1760 and the new remainder 1396, and apply the division lemma to get
1760 = 1396 x 1 + 364
We consider the new divisor 1396 and the new remainder 364,and apply the division lemma to get
1396 = 364 x 3 + 304
We consider the new divisor 364 and the new remainder 304,and apply the division lemma to get
364 = 304 x 1 + 60
We consider the new divisor 304 and the new remainder 60,and apply the division lemma to get
304 = 60 x 5 + 4
We consider the new divisor 60 and the new remainder 4,and apply the division lemma to get
60 = 4 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 8436 and 6676 is 4
Notice that 4 = HCF(60,4) = HCF(304,60) = HCF(364,304) = HCF(1396,364) = HCF(1760,1396) = HCF(6676,1760) = HCF(8436,6676) .
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Frequently Asked Questions on HCF of 8436, 6676 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 8436, 6676?
Answer: HCF of 8436, 6676 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8436, 6676 using Euclid's Algorithm?
Answer: For arbitrary numbers 8436, 6676 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.