Highest Common Factor of 856, 602, 983 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 856, 602, 983 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 856, 602, 983 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 856, 602, 983 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 856, 602, 983 is 1.
HCF(856, 602, 983) = 1
HCF of 856, 602, 983 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 856, 602, 983 is 1.
Highest Common Factor of 856,602,983 is 1
Step 1: Since 856 > 602, we apply the division lemma to 856 and 602, to get
856 = 602 x 1 + 254
Step 2: Since the reminder 602 ≠ 0, we apply division lemma to 254 and 602, to get
602 = 254 x 2 + 94
Step 3: We consider the new divisor 254 and the new remainder 94, and apply the division lemma to get
254 = 94 x 2 + 66
We consider the new divisor 94 and the new remainder 66,and apply the division lemma to get
94 = 66 x 1 + 28
We consider the new divisor 66 and the new remainder 28,and apply the division lemma to get
66 = 28 x 2 + 10
We consider the new divisor 28 and the new remainder 10,and apply the division lemma to get
28 = 10 x 2 + 8
We consider the new divisor 10 and the new remainder 8,and apply the division lemma to get
10 = 8 x 1 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 856 and 602 is 2
Notice that 2 = HCF(8,2) = HCF(10,8) = HCF(28,10) = HCF(66,28) = HCF(94,66) = HCF(254,94) = HCF(602,254) = HCF(856,602) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 983 > 2, we apply the division lemma to 983 and 2, to get
983 = 2 x 491 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 983 is 1
Notice that 1 = HCF(2,1) = HCF(983,2) .
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Frequently Asked Questions on HCF of 856, 602, 983 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 856, 602, 983?
Answer: HCF of 856, 602, 983 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 856, 602, 983 using Euclid's Algorithm?
Answer: For arbitrary numbers 856, 602, 983 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.