Highest Common Factor of 651, 910, 605, 83 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 651, 910, 605, 83 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 651, 910, 605, 83 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 651, 910, 605, 83 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 651, 910, 605, 83 is 1.
HCF(651, 910, 605, 83) = 1
HCF of 651, 910, 605, 83 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 651, 910, 605, 83 is 1.
Highest Common Factor of 651,910,605,83 is 1
Step 1: Since 910 > 651, we apply the division lemma to 910 and 651, to get
910 = 651 x 1 + 259
Step 2: Since the reminder 651 ≠ 0, we apply division lemma to 259 and 651, to get
651 = 259 x 2 + 133
Step 3: We consider the new divisor 259 and the new remainder 133, and apply the division lemma to get
259 = 133 x 1 + 126
We consider the new divisor 133 and the new remainder 126,and apply the division lemma to get
133 = 126 x 1 + 7
We consider the new divisor 126 and the new remainder 7,and apply the division lemma to get
126 = 7 x 18 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 651 and 910 is 7
Notice that 7 = HCF(126,7) = HCF(133,126) = HCF(259,133) = HCF(651,259) = HCF(910,651) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 605 > 7, we apply the division lemma to 605 and 7, to get
605 = 7 x 86 + 3
Step 2: Since the reminder 7 ≠ 0, we apply division lemma to 3 and 7, to get
7 = 3 x 2 + 1
Step 3: 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 7 and 605 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(605,7) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 83 > 1, we apply the division lemma to 83 and 1, to get
83 = 1 x 83 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 83 is 1
Notice that 1 = HCF(83,1) .
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Frequently Asked Questions on HCF of 651, 910, 605, 83 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 651, 910, 605, 83?
Answer: HCF of 651, 910, 605, 83 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 651, 910, 605, 83 using Euclid's Algorithm?
Answer: For arbitrary numbers 651, 910, 605, 83 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.