Highest Common Factor of 940, 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 940, 576 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 940, 576 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 940, 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 940, 576 is 4.
HCF(940, 576) = 4
HCF of 940, 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 940, 576 is 4.
Highest Common Factor of 940,576 is 4
Step 1: Since 940 > 576, we apply the division lemma to 940 and 576, to get
940 = 576 x 1 + 364
Step 2: Since the reminder 576 ≠ 0, we apply division lemma to 364 and 576, to get
576 = 364 x 1 + 212
Step 3: We consider the new divisor 364 and the new remainder 212, and apply the division lemma to get
364 = 212 x 1 + 152
We consider the new divisor 212 and the new remainder 152,and apply the division lemma to get
212 = 152 x 1 + 60
We consider the new divisor 152 and the new remainder 60,and apply the division lemma to get
152 = 60 x 2 + 32
We consider the new divisor 60 and the new remainder 32,and apply the division lemma to get
60 = 32 x 1 + 28
We consider the new divisor 32 and the new remainder 28,and apply the division lemma to get
32 = 28 x 1 + 4
We consider the new divisor 28 and the new remainder 4,and apply the division lemma to get
28 = 4 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 940 and 576 is 4
Notice that 4 = HCF(28,4) = HCF(32,28) = HCF(60,32) = HCF(152,60) = HCF(212,152) = HCF(364,212) = HCF(576,364) = HCF(940,576) .
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Frequently Asked Questions on HCF of 940, 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 940, 576?
Answer: HCF of 940, 576 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 940, 576 using Euclid's Algorithm?
Answer: For arbitrary numbers 940, 576 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
