Highest Common Factor of 910, 563, 451, 835 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 910, 563, 451, 835 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 910, 563, 451, 835 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 910, 563, 451, 835 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 910, 563, 451, 835 is 1.
HCF(910, 563, 451, 835) = 1
HCF of 910, 563, 451, 835 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 910, 563, 451, 835 is 1.
Highest Common Factor of 910,563,451,835 is 1
Step 1: Since 910 > 563, we apply the division lemma to 910 and 563, to get
910 = 563 x 1 + 347
Step 2: Since the reminder 563 ≠ 0, we apply division lemma to 347 and 563, to get
563 = 347 x 1 + 216
Step 3: We consider the new divisor 347 and the new remainder 216, and apply the division lemma to get
347 = 216 x 1 + 131
We consider the new divisor 216 and the new remainder 131,and apply the division lemma to get
216 = 131 x 1 + 85
We consider the new divisor 131 and the new remainder 85,and apply the division lemma to get
131 = 85 x 1 + 46
We consider the new divisor 85 and the new remainder 46,and apply the division lemma to get
85 = 46 x 1 + 39
We consider the new divisor 46 and the new remainder 39,and apply the division lemma to get
46 = 39 x 1 + 7
We consider the new divisor 39 and the new remainder 7,and apply the division lemma to get
39 = 7 x 5 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 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 910 and 563 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(39,7) = HCF(46,39) = HCF(85,46) = HCF(131,85) = HCF(216,131) = HCF(347,216) = HCF(563,347) = HCF(910,563) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 451 > 1, we apply the division lemma to 451 and 1, to get
451 = 1 x 451 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 451 is 1
Notice that 1 = HCF(451,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 835 > 1, we apply the division lemma to 835 and 1, to get
835 = 1 x 835 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 835 is 1
Notice that 1 = HCF(835,1) .
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Frequently Asked Questions on HCF of 910, 563, 451, 835 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 910, 563, 451, 835?
Answer: HCF of 910, 563, 451, 835 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 910, 563, 451, 835 using Euclid's Algorithm?
Answer: For arbitrary numbers 910, 563, 451, 835 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.