Highest Common Factor of 5427, 4373 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 5427, 4373 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5427, 4373 is 1 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 5427, 4373 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 5427, 4373 is 1.
HCF(5427, 4373) = 1
HCF of 5427, 4373 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5427, 4373 is 1.
Highest Common Factor of 5427,4373 is 1
Step 1: Since 5427 > 4373, we apply the division lemma to 5427 and 4373, to get
5427 = 4373 x 1 + 1054
Step 2: Since the reminder 4373 ≠ 0, we apply division lemma to 1054 and 4373, to get
4373 = 1054 x 4 + 157
Step 3: We consider the new divisor 1054 and the new remainder 157, and apply the division lemma to get
1054 = 157 x 6 + 112
We consider the new divisor 157 and the new remainder 112,and apply the division lemma to get
157 = 112 x 1 + 45
We consider the new divisor 112 and the new remainder 45,and apply the division lemma to get
112 = 45 x 2 + 22
We consider the new divisor 45 and the new remainder 22,and apply the division lemma to get
45 = 22 x 2 + 1
We consider the new divisor 22 and the new remainder 1,and apply the division lemma to get
22 = 1 x 22 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5427 and 4373 is 1
Notice that 1 = HCF(22,1) = HCF(45,22) = HCF(112,45) = HCF(157,112) = HCF(1054,157) = HCF(4373,1054) = HCF(5427,4373) .
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Frequently Asked Questions on HCF of 5427, 4373 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 5427, 4373?
Answer: HCF of 5427, 4373 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5427, 4373 using Euclid's Algorithm?
Answer: For arbitrary numbers 5427, 4373 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.