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 9528, 7263 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 9528, 7263 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 9528, 7263 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 9528, 7263 is 3.
HCF(9528, 7263) = 3
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9528, 7263 is 3.
Step 1: Since 9528 > 7263, we apply the division lemma to 9528 and 7263, to get
9528 = 7263 x 1 + 2265
Step 2: Since the reminder 7263 ≠ 0, we apply division lemma to 2265 and 7263, to get
7263 = 2265 x 3 + 468
Step 3: We consider the new divisor 2265 and the new remainder 468, and apply the division lemma to get
2265 = 468 x 4 + 393
We consider the new divisor 468 and the new remainder 393,and apply the division lemma to get
468 = 393 x 1 + 75
We consider the new divisor 393 and the new remainder 75,and apply the division lemma to get
393 = 75 x 5 + 18
We consider the new divisor 75 and the new remainder 18,and apply the division lemma to get
75 = 18 x 4 + 3
We consider the new divisor 18 and the new remainder 3,and apply the division lemma to get
18 = 3 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 9528 and 7263 is 3
Notice that 3 = HCF(18,3) = HCF(75,18) = HCF(393,75) = HCF(468,393) = HCF(2265,468) = HCF(7263,2265) = HCF(9528,7263) .
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 9528, 7263?
Answer: HCF of 9528, 7263 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9528, 7263 using Euclid's Algorithm?
Answer: For arbitrary numbers 9528, 7263 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.