Highest Common Factor of 835, 309, 282, 258 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 835, 309, 282, 258 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 835, 309, 282, 258 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 835, 309, 282, 258 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 835, 309, 282, 258 is 1.
HCF(835, 309, 282, 258) = 1
HCF of 835, 309, 282, 258 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 835, 309, 282, 258 is 1.
Highest Common Factor of 835,309,282,258 is 1
Step 1: Since 835 > 309, we apply the division lemma to 835 and 309, to get
835 = 309 x 2 + 217
Step 2: Since the reminder 309 ≠ 0, we apply division lemma to 217 and 309, to get
309 = 217 x 1 + 92
Step 3: We consider the new divisor 217 and the new remainder 92, and apply the division lemma to get
217 = 92 x 2 + 33
We consider the new divisor 92 and the new remainder 33,and apply the division lemma to get
92 = 33 x 2 + 26
We consider the new divisor 33 and the new remainder 26,and apply the division lemma to get
33 = 26 x 1 + 7
We consider the new divisor 26 and the new remainder 7,and apply the division lemma to get
26 = 7 x 3 + 5
We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get
7 = 5 x 1 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 835 and 309 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(26,7) = HCF(33,26) = HCF(92,33) = HCF(217,92) = HCF(309,217) = HCF(835,309) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 282 > 1, we apply the division lemma to 282 and 1, to get
282 = 1 x 282 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 282 is 1
Notice that 1 = HCF(282,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 258 > 1, we apply the division lemma to 258 and 1, to get
258 = 1 x 258 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 258 is 1
Notice that 1 = HCF(258,1) .
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Frequently Asked Questions on HCF of 835, 309, 282, 258 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 835, 309, 282, 258?
Answer: HCF of 835, 309, 282, 258 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 835, 309, 282, 258 using Euclid's Algorithm?
Answer: For arbitrary numbers 835, 309, 282, 258 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.