Highest Common Factor of 751, 434, 563 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 751, 434, 563 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 751, 434, 563 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 751, 434, 563 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 751, 434, 563 is 1.
HCF(751, 434, 563) = 1
HCF of 751, 434, 563 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 751, 434, 563 is 1.
Highest Common Factor of 751,434,563 is 1
Step 1: Since 751 > 434, we apply the division lemma to 751 and 434, to get
751 = 434 x 1 + 317
Step 2: Since the reminder 434 ≠ 0, we apply division lemma to 317 and 434, to get
434 = 317 x 1 + 117
Step 3: We consider the new divisor 317 and the new remainder 117, and apply the division lemma to get
317 = 117 x 2 + 83
We consider the new divisor 117 and the new remainder 83,and apply the division lemma to get
117 = 83 x 1 + 34
We consider the new divisor 83 and the new remainder 34,and apply the division lemma to get
83 = 34 x 2 + 15
We consider the new divisor 34 and the new remainder 15,and apply the division lemma to get
34 = 15 x 2 + 4
We consider the new divisor 15 and the new remainder 4,and apply the division lemma to get
15 = 4 x 3 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 751 and 434 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(15,4) = HCF(34,15) = HCF(83,34) = HCF(117,83) = HCF(317,117) = HCF(434,317) = HCF(751,434) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 563 > 1, we apply the division lemma to 563 and 1, to get
563 = 1 x 563 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 563 is 1
Notice that 1 = HCF(563,1) .
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Frequently Asked Questions on HCF of 751, 434, 563 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 751, 434, 563?
Answer: HCF of 751, 434, 563 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 751, 434, 563 using Euclid's Algorithm?
Answer: For arbitrary numbers 751, 434, 563 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
