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 9264, 5327 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9264, 5327 is 1 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 9264, 5327 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 9264, 5327 is 1.
HCF(9264, 5327) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9264, 5327 is 1.
Step 1: Since 9264 > 5327, we apply the division lemma to 9264 and 5327, to get
9264 = 5327 x 1 + 3937
Step 2: Since the reminder 5327 ≠ 0, we apply division lemma to 3937 and 5327, to get
5327 = 3937 x 1 + 1390
Step 3: We consider the new divisor 3937 and the new remainder 1390, and apply the division lemma to get
3937 = 1390 x 2 + 1157
We consider the new divisor 1390 and the new remainder 1157,and apply the division lemma to get
1390 = 1157 x 1 + 233
We consider the new divisor 1157 and the new remainder 233,and apply the division lemma to get
1157 = 233 x 4 + 225
We consider the new divisor 233 and the new remainder 225,and apply the division lemma to get
233 = 225 x 1 + 8
We consider the new divisor 225 and the new remainder 8,and apply the division lemma to get
225 = 8 x 28 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9264 and 5327 is 1
Notice that 1 = HCF(8,1) = HCF(225,8) = HCF(233,225) = HCF(1157,233) = HCF(1390,1157) = HCF(3937,1390) = HCF(5327,3937) = HCF(9264,5327) .
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 9264, 5327?
Answer: HCF of 9264, 5327 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9264, 5327 using Euclid's Algorithm?
Answer: For arbitrary numbers 9264, 5327 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.