Highest Common Factor of 782, 965, 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 782, 965, 576 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 782, 965, 576 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 782, 965, 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 782, 965, 576 is 1.
HCF(782, 965, 576) = 1
HCF of 782, 965, 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 782, 965, 576 is 1.
Highest Common Factor of 782,965,576 is 1
Step 1: Since 965 > 782, we apply the division lemma to 965 and 782, to get
965 = 782 x 1 + 183
Step 2: Since the reminder 782 ≠ 0, we apply division lemma to 183 and 782, to get
782 = 183 x 4 + 50
Step 3: We consider the new divisor 183 and the new remainder 50, and apply the division lemma to get
183 = 50 x 3 + 33
We consider the new divisor 50 and the new remainder 33,and apply the division lemma to get
50 = 33 x 1 + 17
We consider the new divisor 33 and the new remainder 17,and apply the division lemma to get
33 = 17 x 1 + 16
We consider the new divisor 17 and the new remainder 16,and apply the division lemma to get
17 = 16 x 1 + 1
We consider the new divisor 16 and the new remainder 1,and apply the division lemma to get
16 = 1 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 782 and 965 is 1
Notice that 1 = HCF(16,1) = HCF(17,16) = HCF(33,17) = HCF(50,33) = HCF(183,50) = HCF(782,183) = HCF(965,782) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 576 > 1, we apply the division lemma to 576 and 1, to get
576 = 1 x 576 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 576 is 1
Notice that 1 = HCF(576,1) .
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Frequently Asked Questions on HCF of 782, 965, 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 782, 965, 576?
Answer: HCF of 782, 965, 576 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 782, 965, 576 using Euclid's Algorithm?
Answer: For arbitrary numbers 782, 965, 576 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
