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 9235, 5837 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9235, 5837 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 9235, 5837 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 9235, 5837 is 1.
HCF(9235, 5837) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9235, 5837 is 1.
Step 1: Since 9235 > 5837, we apply the division lemma to 9235 and 5837, to get
9235 = 5837 x 1 + 3398
Step 2: Since the reminder 5837 ≠ 0, we apply division lemma to 3398 and 5837, to get
5837 = 3398 x 1 + 2439
Step 3: We consider the new divisor 3398 and the new remainder 2439, and apply the division lemma to get
3398 = 2439 x 1 + 959
We consider the new divisor 2439 and the new remainder 959,and apply the division lemma to get
2439 = 959 x 2 + 521
We consider the new divisor 959 and the new remainder 521,and apply the division lemma to get
959 = 521 x 1 + 438
We consider the new divisor 521 and the new remainder 438,and apply the division lemma to get
521 = 438 x 1 + 83
We consider the new divisor 438 and the new remainder 83,and apply the division lemma to get
438 = 83 x 5 + 23
We consider the new divisor 83 and the new remainder 23,and apply the division lemma to get
83 = 23 x 3 + 14
We consider the new divisor 23 and the new remainder 14,and apply the division lemma to get
23 = 14 x 1 + 9
We consider the new divisor 14 and the new remainder 9,and apply the division lemma to get
14 = 9 x 1 + 5
We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get
9 = 5 x 1 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9235 and 5837 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(14,9) = HCF(23,14) = HCF(83,23) = HCF(438,83) = HCF(521,438) = HCF(959,521) = HCF(2439,959) = HCF(3398,2439) = HCF(5837,3398) = HCF(9235,5837) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 9235, 5837?
Answer: HCF of 9235, 5837 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9235, 5837 using Euclid's Algorithm?
Answer: For arbitrary numbers 9235, 5837 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.