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 9037, 1559 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9037, 1559 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 9037, 1559 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 9037, 1559 is 1.
HCF(9037, 1559) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9037, 1559 is 1.
Step 1: Since 9037 > 1559, we apply the division lemma to 9037 and 1559, to get
9037 = 1559 x 5 + 1242
Step 2: Since the reminder 1559 ≠ 0, we apply division lemma to 1242 and 1559, to get
1559 = 1242 x 1 + 317
Step 3: We consider the new divisor 1242 and the new remainder 317, and apply the division lemma to get
1242 = 317 x 3 + 291
We consider the new divisor 317 and the new remainder 291,and apply the division lemma to get
317 = 291 x 1 + 26
We consider the new divisor 291 and the new remainder 26,and apply the division lemma to get
291 = 26 x 11 + 5
We consider the new divisor 26 and the new remainder 5,and apply the division lemma to get
26 = 5 x 5 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9037 and 1559 is 1
Notice that 1 = HCF(5,1) = HCF(26,5) = HCF(291,26) = HCF(317,291) = HCF(1242,317) = HCF(1559,1242) = HCF(9037,1559) .
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 9037, 1559?
Answer: HCF of 9037, 1559 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9037, 1559 using Euclid's Algorithm?
Answer: For arbitrary numbers 9037, 1559 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.