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 5916, 1224 i.e. 204 the largest integer that leaves a remainder zero for all numbers.
HCF of 5916, 1224 is 204 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 5916, 1224 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 5916, 1224 is 204.
HCF(5916, 1224) = 204
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5916, 1224 is 204.
Step 1: Since 5916 > 1224, we apply the division lemma to 5916 and 1224, to get
5916 = 1224 x 4 + 1020
Step 2: Since the reminder 1224 ≠ 0, we apply division lemma to 1020 and 1224, to get
1224 = 1020 x 1 + 204
Step 3: We consider the new divisor 1020 and the new remainder 204, and apply the division lemma to get
1020 = 204 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 204, the HCF of 5916 and 1224 is 204
Notice that 204 = HCF(1020,204) = HCF(1224,1020) = HCF(5916,1224) .
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 5916, 1224?
Answer: HCF of 5916, 1224 is 204 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5916, 1224 using Euclid's Algorithm?
Answer: For arbitrary numbers 5916, 1224 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.