Highest Common Factor of 560, 9388 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 560, 9388 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 560, 9388 is 4 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 560, 9388 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 560, 9388 is 4.
HCF(560, 9388) = 4
HCF of 560, 9388 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 560, 9388 is 4.
Highest Common Factor of 560,9388 is 4
Step 1: Since 9388 > 560, we apply the division lemma to 9388 and 560, to get
9388 = 560 x 16 + 428
Step 2: Since the reminder 560 ≠ 0, we apply division lemma to 428 and 560, to get
560 = 428 x 1 + 132
Step 3: We consider the new divisor 428 and the new remainder 132, and apply the division lemma to get
428 = 132 x 3 + 32
We consider the new divisor 132 and the new remainder 32,and apply the division lemma to get
132 = 32 x 4 + 4
We consider the new divisor 32 and the new remainder 4,and apply the division lemma to get
32 = 4 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 560 and 9388 is 4
Notice that 4 = HCF(32,4) = HCF(132,32) = HCF(428,132) = HCF(560,428) = HCF(9388,560) .
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Frequently Asked Questions on HCF of 560, 9388 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 560, 9388?
Answer: HCF of 560, 9388 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 560, 9388 using Euclid's Algorithm?
Answer: For arbitrary numbers 560, 9388 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
