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 1572, 3732 i.e. 12 the largest integer that leaves a remainder zero for all numbers.
HCF of 1572, 3732 is 12 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 1572, 3732 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 1572, 3732 is 12.
HCF(1572, 3732) = 12
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1572, 3732 is 12.
Step 1: Since 3732 > 1572, we apply the division lemma to 3732 and 1572, to get
3732 = 1572 x 2 + 588
Step 2: Since the reminder 1572 ≠ 0, we apply division lemma to 588 and 1572, to get
1572 = 588 x 2 + 396
Step 3: We consider the new divisor 588 and the new remainder 396, and apply the division lemma to get
588 = 396 x 1 + 192
We consider the new divisor 396 and the new remainder 192,and apply the division lemma to get
396 = 192 x 2 + 12
We consider the new divisor 192 and the new remainder 12,and apply the division lemma to get
192 = 12 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 12, the HCF of 1572 and 3732 is 12
Notice that 12 = HCF(192,12) = HCF(396,192) = HCF(588,396) = HCF(1572,588) = HCF(3732,1572) .
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 1572, 3732?
Answer: HCF of 1572, 3732 is 12 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1572, 3732 using Euclid's Algorithm?
Answer: For arbitrary numbers 1572, 3732 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.