Highest Common Factor of 5630, 1358 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 5630, 1358 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5630, 1358 is 2 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 5630, 1358 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 5630, 1358 is 2.
HCF(5630, 1358) = 2
HCF of 5630, 1358 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5630, 1358 is 2.
Highest Common Factor of 5630,1358 is 2
Step 1: Since 5630 > 1358, we apply the division lemma to 5630 and 1358, to get
5630 = 1358 x 4 + 198
Step 2: Since the reminder 1358 ≠ 0, we apply division lemma to 198 and 1358, to get
1358 = 198 x 6 + 170
Step 3: We consider the new divisor 198 and the new remainder 170, and apply the division lemma to get
198 = 170 x 1 + 28
We consider the new divisor 170 and the new remainder 28,and apply the division lemma to get
170 = 28 x 6 + 2
We consider the new divisor 28 and the new remainder 2,and apply the division lemma to get
28 = 2 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5630 and 1358 is 2
Notice that 2 = HCF(28,2) = HCF(170,28) = HCF(198,170) = HCF(1358,198) = HCF(5630,1358) .
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Frequently Asked Questions on HCF of 5630, 1358 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 5630, 1358?
Answer: HCF of 5630, 1358 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5630, 1358 using Euclid's Algorithm?
Answer: For arbitrary numbers 5630, 1358 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.