Highest Common Factor of 783, 956, 926, 433 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 783, 956, 926, 433 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 783, 956, 926, 433 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 783, 956, 926, 433 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 783, 956, 926, 433 is 1.
HCF(783, 956, 926, 433) = 1
HCF of 783, 956, 926, 433 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 783, 956, 926, 433 is 1.
Highest Common Factor of 783,956,926,433 is 1
Step 1: Since 956 > 783, we apply the division lemma to 956 and 783, to get
956 = 783 x 1 + 173
Step 2: Since the reminder 783 ≠ 0, we apply division lemma to 173 and 783, to get
783 = 173 x 4 + 91
Step 3: We consider the new divisor 173 and the new remainder 91, and apply the division lemma to get
173 = 91 x 1 + 82
We consider the new divisor 91 and the new remainder 82,and apply the division lemma to get
91 = 82 x 1 + 9
We consider the new divisor 82 and the new remainder 9,and apply the division lemma to get
82 = 9 x 9 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 783 and 956 is 1
Notice that 1 = HCF(9,1) = HCF(82,9) = HCF(91,82) = HCF(173,91) = HCF(783,173) = HCF(956,783) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 926 > 1, we apply the division lemma to 926 and 1, to get
926 = 1 x 926 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 926 is 1
Notice that 1 = HCF(926,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 433 > 1, we apply the division lemma to 433 and 1, to get
433 = 1 x 433 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 433 is 1
Notice that 1 = HCF(433,1) .
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Frequently Asked Questions on HCF of 783, 956, 926, 433 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 783, 956, 926, 433?
Answer: HCF of 783, 956, 926, 433 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 783, 956, 926, 433 using Euclid's Algorithm?
Answer: For arbitrary numbers 783, 956, 926, 433 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.