Highest Common Factor of 1358, 5383 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 1358, 5383 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 1358, 5383 is 7 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 1358, 5383 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 1358, 5383 is 7.
HCF(1358, 5383) = 7
HCF of 1358, 5383 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1358, 5383 is 7.
Highest Common Factor of 1358,5383 is 7
Step 1: Since 5383 > 1358, we apply the division lemma to 5383 and 1358, to get
5383 = 1358 x 3 + 1309
Step 2: Since the reminder 1358 ≠ 0, we apply division lemma to 1309 and 1358, to get
1358 = 1309 x 1 + 49
Step 3: We consider the new divisor 1309 and the new remainder 49, and apply the division lemma to get
1309 = 49 x 26 + 35
We consider the new divisor 49 and the new remainder 35,and apply the division lemma to get
49 = 35 x 1 + 14
We consider the new divisor 35 and the new remainder 14,and apply the division lemma to get
35 = 14 x 2 + 7
We consider the new divisor 14 and the new remainder 7,and apply the division lemma to get
14 = 7 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 1358 and 5383 is 7
Notice that 7 = HCF(14,7) = HCF(35,14) = HCF(49,35) = HCF(1309,49) = HCF(1358,1309) = HCF(5383,1358) .
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Frequently Asked Questions on HCF of 1358, 5383 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 1358, 5383?
Answer: HCF of 1358, 5383 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1358, 5383 using Euclid's Algorithm?
Answer: For arbitrary numbers 1358, 5383 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.