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 728, 22180 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 728, 22180 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 728, 22180 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 728, 22180 is 4.
HCF(728, 22180) = 4
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 728, 22180 is 4.
Step 1: Since 22180 > 728, we apply the division lemma to 22180 and 728, to get
22180 = 728 x 30 + 340
Step 2: Since the reminder 728 ≠ 0, we apply division lemma to 340 and 728, to get
728 = 340 x 2 + 48
Step 3: We consider the new divisor 340 and the new remainder 48, and apply the division lemma to get
340 = 48 x 7 + 4
We consider the new divisor 48 and the new remainder 4, and apply the division lemma to get
48 = 4 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 728 and 22180 is 4
Notice that 4 = HCF(48,4) = HCF(340,48) = HCF(728,340) = HCF(22180,728) .
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 728, 22180?
Answer: HCF of 728, 22180 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 728, 22180 using Euclid's Algorithm?
Answer: For arbitrary numbers 728, 22180 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.