Highest Common Factor of 960, 576 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 960, 576 i.e. 192 the largest integer that leaves a remainder zero for all numbers.
HCF of 960, 576 is 192 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 960, 576 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 960, 576 is 192.
HCF(960, 576) = 192
HCF of 960, 576 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 960, 576 is 192.
Highest Common Factor of 960,576 is 192
Step 1: Since 960 > 576, we apply the division lemma to 960 and 576, to get
960 = 576 x 1 + 384
Step 2: Since the reminder 576 ≠ 0, we apply division lemma to 384 and 576, to get
576 = 384 x 1 + 192
Step 3: We consider the new divisor 384 and the new remainder 192, and apply the division lemma to get
384 = 192 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 192, the HCF of 960 and 576 is 192
Notice that 192 = HCF(384,192) = HCF(576,384) = HCF(960,576) .
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Frequently Asked Questions on HCF of 960, 576 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 960, 576?
Answer: HCF of 960, 576 is 192 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 960, 576 using Euclid's Algorithm?
Answer: For arbitrary numbers 960, 576 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
