Highest Common Factor of 4956, 844 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 4956, 844 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 4956, 844 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 4956, 844 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 4956, 844 is 4.
HCF(4956, 844) = 4
HCF of 4956, 844 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4956, 844 is 4.
Highest Common Factor of 4956,844 is 4
Step 1: Since 4956 > 844, we apply the division lemma to 4956 and 844, to get
4956 = 844 x 5 + 736
Step 2: Since the reminder 844 ≠ 0, we apply division lemma to 736 and 844, to get
844 = 736 x 1 + 108
Step 3: We consider the new divisor 736 and the new remainder 108, and apply the division lemma to get
736 = 108 x 6 + 88
We consider the new divisor 108 and the new remainder 88,and apply the division lemma to get
108 = 88 x 1 + 20
We consider the new divisor 88 and the new remainder 20,and apply the division lemma to get
88 = 20 x 4 + 8
We consider the new divisor 20 and the new remainder 8,and apply the division lemma to get
20 = 8 x 2 + 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 4956 and 844 is 4
Notice that 4 = HCF(8,4) = HCF(20,8) = HCF(88,20) = HCF(108,88) = HCF(736,108) = HCF(844,736) = HCF(4956,844) .
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Frequently Asked Questions on HCF of 4956, 844 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 4956, 844?
Answer: HCF of 4956, 844 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4956, 844 using Euclid's Algorithm?
Answer: For arbitrary numbers 4956, 844 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.