Highest Common Factor of 4400, 5393 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 4400, 5393 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4400, 5393 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 4400, 5393 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 4400, 5393 is 1.
HCF(4400, 5393) = 1
HCF of 4400, 5393 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4400, 5393 is 1.
Highest Common Factor of 4400,5393 is 1
Step 1: Since 5393 > 4400, we apply the division lemma to 5393 and 4400, to get
5393 = 4400 x 1 + 993
Step 2: Since the reminder 4400 ≠ 0, we apply division lemma to 993 and 4400, to get
4400 = 993 x 4 + 428
Step 3: We consider the new divisor 993 and the new remainder 428, and apply the division lemma to get
993 = 428 x 2 + 137
We consider the new divisor 428 and the new remainder 137,and apply the division lemma to get
428 = 137 x 3 + 17
We consider the new divisor 137 and the new remainder 17,and apply the division lemma to get
137 = 17 x 8 + 1
We consider the new divisor 17 and the new remainder 1,and apply the division lemma to get
17 = 1 x 17 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4400 and 5393 is 1
Notice that 1 = HCF(17,1) = HCF(137,17) = HCF(428,137) = HCF(993,428) = HCF(4400,993) = HCF(5393,4400) .
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Frequently Asked Questions on HCF of 4400, 5393 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 4400, 5393?
Answer: HCF of 4400, 5393 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4400, 5393 using Euclid's Algorithm?
Answer: For arbitrary numbers 4400, 5393 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.