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 804, 70732 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 804, 70732 is 4 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 804, 70732 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 804, 70732 is 4.
HCF(804, 70732) = 4
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 804, 70732 is 4.
Step 1: Since 70732 > 804, we apply the division lemma to 70732 and 804, to get
70732 = 804 x 87 + 784
Step 2: Since the reminder 804 ≠ 0, we apply division lemma to 784 and 804, to get
804 = 784 x 1 + 20
Step 3: We consider the new divisor 784 and the new remainder 20, and apply the division lemma to get
784 = 20 x 39 + 4
We consider the new divisor 20 and the new remainder 4, and apply the division lemma to get
20 = 4 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 804 and 70732 is 4
Notice that 4 = HCF(20,4) = HCF(784,20) = HCF(804,784) = HCF(70732,804) .
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 804, 70732?
Answer: HCF of 804, 70732 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 804, 70732 using Euclid's Algorithm?
Answer: For arbitrary numbers 804, 70732 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.