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 3184, 572 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 3184, 572 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 3184, 572 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 3184, 572 is 4.
HCF(3184, 572) = 4
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3184, 572 is 4.
Step 1: Since 3184 > 572, we apply the division lemma to 3184 and 572, to get
3184 = 572 x 5 + 324
Step 2: Since the reminder 572 ≠ 0, we apply division lemma to 324 and 572, to get
572 = 324 x 1 + 248
Step 3: We consider the new divisor 324 and the new remainder 248, and apply the division lemma to get
324 = 248 x 1 + 76
We consider the new divisor 248 and the new remainder 76,and apply the division lemma to get
248 = 76 x 3 + 20
We consider the new divisor 76 and the new remainder 20,and apply the division lemma to get
76 = 20 x 3 + 16
We consider the new divisor 20 and the new remainder 16,and apply the division lemma to get
20 = 16 x 1 + 4
We consider the new divisor 16 and the new remainder 4,and apply the division lemma to get
16 = 4 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 3184 and 572 is 4
Notice that 4 = HCF(16,4) = HCF(20,16) = HCF(76,20) = HCF(248,76) = HCF(324,248) = HCF(572,324) = HCF(3184,572) .
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 3184, 572?
Answer: HCF of 3184, 572 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3184, 572 using Euclid's Algorithm?
Answer: For arbitrary numbers 3184, 572 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.