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 756, 9525 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 756, 9525 is 3 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 756, 9525 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 756, 9525 is 3.
HCF(756, 9525) = 3
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 756, 9525 is 3.
Step 1: Since 9525 > 756, we apply the division lemma to 9525 and 756, to get
9525 = 756 x 12 + 453
Step 2: Since the reminder 756 ≠ 0, we apply division lemma to 453 and 756, to get
756 = 453 x 1 + 303
Step 3: We consider the new divisor 453 and the new remainder 303, and apply the division lemma to get
453 = 303 x 1 + 150
We consider the new divisor 303 and the new remainder 150,and apply the division lemma to get
303 = 150 x 2 + 3
We consider the new divisor 150 and the new remainder 3,and apply the division lemma to get
150 = 3 x 50 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 756 and 9525 is 3
Notice that 3 = HCF(150,3) = HCF(303,150) = HCF(453,303) = HCF(756,453) = HCF(9525,756) .
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 756, 9525?
Answer: HCF of 756, 9525 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 756, 9525 using Euclid's Algorithm?
Answer: For arbitrary numbers 756, 9525 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.