Highest Common Factor of 8568, 9372 using Euclid's algorithm
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 8568, 9372 i.e. 12 the largest integer that leaves a remainder zero for all numbers.
HCF of 8568, 9372 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 8568, 9372 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 8568, 9372 is 12.
HCF(8568, 9372) = 12
HCF of 8568, 9372 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8568, 9372 is 12.
Highest Common Factor of 8568,9372 is 12
Step 1: Since 9372 > 8568, we apply the division lemma to 9372 and 8568, to get
9372 = 8568 x 1 + 804
Step 2: Since the reminder 8568 ≠ 0, we apply division lemma to 804 and 8568, to get
8568 = 804 x 10 + 528
Step 3: We consider the new divisor 804 and the new remainder 528, and apply the division lemma to get
804 = 528 x 1 + 276
We consider the new divisor 528 and the new remainder 276,and apply the division lemma to get
528 = 276 x 1 + 252
We consider the new divisor 276 and the new remainder 252,and apply the division lemma to get
276 = 252 x 1 + 24
We consider the new divisor 252 and the new remainder 24,and apply the division lemma to get
252 = 24 x 10 + 12
We consider the new divisor 24 and the new remainder 12,and apply the division lemma to get
24 = 12 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 12, the HCF of 8568 and 9372 is 12
Notice that 12 = HCF(24,12) = HCF(252,24) = HCF(276,252) = HCF(528,276) = HCF(804,528) = HCF(8568,804) = HCF(9372,8568) .
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Frequently Asked Questions on HCF of 8568, 9372 using Euclid's Algorithm
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 8568, 9372?
Answer: HCF of 8568, 9372 is 12 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8568, 9372 using Euclid's Algorithm?
Answer: For arbitrary numbers 8568, 9372 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.