Highest Common Factor of 5474, 9386 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 5474, 9386 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5474, 9386 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 5474, 9386 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 5474, 9386 is 2.
HCF(5474, 9386) = 2
HCF of 5474, 9386 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5474, 9386 is 2.
Highest Common Factor of 5474,9386 is 2
Step 1: Since 9386 > 5474, we apply the division lemma to 9386 and 5474, to get
9386 = 5474 x 1 + 3912
Step 2: Since the reminder 5474 ≠ 0, we apply division lemma to 3912 and 5474, to get
5474 = 3912 x 1 + 1562
Step 3: We consider the new divisor 3912 and the new remainder 1562, and apply the division lemma to get
3912 = 1562 x 2 + 788
We consider the new divisor 1562 and the new remainder 788,and apply the division lemma to get
1562 = 788 x 1 + 774
We consider the new divisor 788 and the new remainder 774,and apply the division lemma to get
788 = 774 x 1 + 14
We consider the new divisor 774 and the new remainder 14,and apply the division lemma to get
774 = 14 x 55 + 4
We consider the new divisor 14 and the new remainder 4,and apply the division lemma to get
14 = 4 x 3 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5474 and 9386 is 2
Notice that 2 = HCF(4,2) = HCF(14,4) = HCF(774,14) = HCF(788,774) = HCF(1562,788) = HCF(3912,1562) = HCF(5474,3912) = HCF(9386,5474) .
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Frequently Asked Questions on HCF of 5474, 9386 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 5474, 9386?
Answer: HCF of 5474, 9386 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5474, 9386 using Euclid's Algorithm?
Answer: For arbitrary numbers 5474, 9386 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.