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 803, 37579 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 803, 37579 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 803, 37579 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 803, 37579 is 1.
HCF(803, 37579) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 803, 37579 is 1.
Step 1: Since 37579 > 803, we apply the division lemma to 37579 and 803, to get
37579 = 803 x 46 + 641
Step 2: Since the reminder 803 ≠ 0, we apply division lemma to 641 and 803, to get
803 = 641 x 1 + 162
Step 3: We consider the new divisor 641 and the new remainder 162, and apply the division lemma to get
641 = 162 x 3 + 155
We consider the new divisor 162 and the new remainder 155,and apply the division lemma to get
162 = 155 x 1 + 7
We consider the new divisor 155 and the new remainder 7,and apply the division lemma to get
155 = 7 x 22 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 803 and 37579 is 1
Notice that 1 = HCF(7,1) = HCF(155,7) = HCF(162,155) = HCF(641,162) = HCF(803,641) = HCF(37579,803) .
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 803, 37579?
Answer: HCF of 803, 37579 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 803, 37579 using Euclid's Algorithm?
Answer: For arbitrary numbers 803, 37579 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.