Highest Common Factor of 5344, 7868 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 5344, 7868 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 5344, 7868 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 5344, 7868 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 5344, 7868 is 4.
HCF(5344, 7868) = 4
HCF of 5344, 7868 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5344, 7868 is 4.
Highest Common Factor of 5344,7868 is 4
Step 1: Since 7868 > 5344, we apply the division lemma to 7868 and 5344, to get
7868 = 5344 x 1 + 2524
Step 2: Since the reminder 5344 ≠ 0, we apply division lemma to 2524 and 5344, to get
5344 = 2524 x 2 + 296
Step 3: We consider the new divisor 2524 and the new remainder 296, and apply the division lemma to get
2524 = 296 x 8 + 156
We consider the new divisor 296 and the new remainder 156,and apply the division lemma to get
296 = 156 x 1 + 140
We consider the new divisor 156 and the new remainder 140,and apply the division lemma to get
156 = 140 x 1 + 16
We consider the new divisor 140 and the new remainder 16,and apply the division lemma to get
140 = 16 x 8 + 12
We consider the new divisor 16 and the new remainder 12,and apply the division lemma to get
16 = 12 x 1 + 4
We consider the new divisor 12 and the new remainder 4,and apply the division lemma to get
12 = 4 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 5344 and 7868 is 4
Notice that 4 = HCF(12,4) = HCF(16,12) = HCF(140,16) = HCF(156,140) = HCF(296,156) = HCF(2524,296) = HCF(5344,2524) = HCF(7868,5344) .
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Frequently Asked Questions on HCF of 5344, 7868 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 5344, 7868?
Answer: HCF of 5344, 7868 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5344, 7868 using Euclid's Algorithm?
Answer: For arbitrary numbers 5344, 7868 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.