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 5324, 3824 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 5324, 3824 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 5324, 3824 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 5324, 3824 is 4.
HCF(5324, 3824) = 4
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5324, 3824 is 4.
Step 1: Since 5324 > 3824, we apply the division lemma to 5324 and 3824, to get
5324 = 3824 x 1 + 1500
Step 2: Since the reminder 3824 ≠ 0, we apply division lemma to 1500 and 3824, to get
3824 = 1500 x 2 + 824
Step 3: We consider the new divisor 1500 and the new remainder 824, and apply the division lemma to get
1500 = 824 x 1 + 676
We consider the new divisor 824 and the new remainder 676,and apply the division lemma to get
824 = 676 x 1 + 148
We consider the new divisor 676 and the new remainder 148,and apply the division lemma to get
676 = 148 x 4 + 84
We consider the new divisor 148 and the new remainder 84,and apply the division lemma to get
148 = 84 x 1 + 64
We consider the new divisor 84 and the new remainder 64,and apply the division lemma to get
84 = 64 x 1 + 20
We consider the new divisor 64 and the new remainder 20,and apply the division lemma to get
64 = 20 x 3 + 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 5324 and 3824 is 4
Notice that 4 = HCF(20,4) = HCF(64,20) = HCF(84,64) = HCF(148,84) = HCF(676,148) = HCF(824,676) = HCF(1500,824) = HCF(3824,1500) = HCF(5324,3824) .
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 5324, 3824?
Answer: HCF of 5324, 3824 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5324, 3824 using Euclid's Algorithm?
Answer: For arbitrary numbers 5324, 3824 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.