Highest Common Factor of 5825, 9416 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 5825, 9416 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5825, 9416 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 5825, 9416 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 5825, 9416 is 1.
HCF(5825, 9416) = 1
HCF of 5825, 9416 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5825, 9416 is 1.
Highest Common Factor of 5825,9416 is 1
Step 1: Since 9416 > 5825, we apply the division lemma to 9416 and 5825, to get
9416 = 5825 x 1 + 3591
Step 2: Since the reminder 5825 ≠ 0, we apply division lemma to 3591 and 5825, to get
5825 = 3591 x 1 + 2234
Step 3: We consider the new divisor 3591 and the new remainder 2234, and apply the division lemma to get
3591 = 2234 x 1 + 1357
We consider the new divisor 2234 and the new remainder 1357,and apply the division lemma to get
2234 = 1357 x 1 + 877
We consider the new divisor 1357 and the new remainder 877,and apply the division lemma to get
1357 = 877 x 1 + 480
We consider the new divisor 877 and the new remainder 480,and apply the division lemma to get
877 = 480 x 1 + 397
We consider the new divisor 480 and the new remainder 397,and apply the division lemma to get
480 = 397 x 1 + 83
We consider the new divisor 397 and the new remainder 83,and apply the division lemma to get
397 = 83 x 4 + 65
We consider the new divisor 83 and the new remainder 65,and apply the division lemma to get
83 = 65 x 1 + 18
We consider the new divisor 65 and the new remainder 18,and apply the division lemma to get
65 = 18 x 3 + 11
We consider the new divisor 18 and the new remainder 11,and apply the division lemma to get
18 = 11 x 1 + 7
We consider the new divisor 11 and the new remainder 7,and apply the division lemma to get
11 = 7 x 1 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5825 and 9416 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(11,7) = HCF(18,11) = HCF(65,18) = HCF(83,65) = HCF(397,83) = HCF(480,397) = HCF(877,480) = HCF(1357,877) = HCF(2234,1357) = HCF(3591,2234) = HCF(5825,3591) = HCF(9416,5825) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 5825, 9416 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 5825, 9416?
Answer: HCF of 5825, 9416 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5825, 9416 using Euclid's Algorithm?
Answer: For arbitrary numbers 5825, 9416 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.