Highest Common Factor of 9994, 5392 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 9994, 5392 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9994, 5392 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 9994, 5392 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 9994, 5392 is 2.
HCF(9994, 5392) = 2
HCF of 9994, 5392 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9994, 5392 is 2.
Highest Common Factor of 9994,5392 is 2
Step 1: Since 9994 > 5392, we apply the division lemma to 9994 and 5392, to get
9994 = 5392 x 1 + 4602
Step 2: Since the reminder 5392 ≠ 0, we apply division lemma to 4602 and 5392, to get
5392 = 4602 x 1 + 790
Step 3: We consider the new divisor 4602 and the new remainder 790, and apply the division lemma to get
4602 = 790 x 5 + 652
We consider the new divisor 790 and the new remainder 652,and apply the division lemma to get
790 = 652 x 1 + 138
We consider the new divisor 652 and the new remainder 138,and apply the division lemma to get
652 = 138 x 4 + 100
We consider the new divisor 138 and the new remainder 100,and apply the division lemma to get
138 = 100 x 1 + 38
We consider the new divisor 100 and the new remainder 38,and apply the division lemma to get
100 = 38 x 2 + 24
We consider the new divisor 38 and the new remainder 24,and apply the division lemma to get
38 = 24 x 1 + 14
We consider the new divisor 24 and the new remainder 14,and apply the division lemma to get
24 = 14 x 1 + 10
We consider the new divisor 14 and the new remainder 10,and apply the division lemma to get
14 = 10 x 1 + 4
We consider the new divisor 10 and the new remainder 4,and apply the division lemma to get
10 = 4 x 2 + 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 9994 and 5392 is 2
Notice that 2 = HCF(4,2) = HCF(10,4) = HCF(14,10) = HCF(24,14) = HCF(38,24) = HCF(100,38) = HCF(138,100) = HCF(652,138) = HCF(790,652) = HCF(4602,790) = HCF(5392,4602) = HCF(9994,5392) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 9994, 5392 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 9994, 5392?
Answer: HCF of 9994, 5392 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9994, 5392 using Euclid's Algorithm?
Answer: For arbitrary numbers 9994, 5392 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.