Highest Common Factor of 976, 606, 602 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 976, 606, 602 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 976, 606, 602 is 2 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 976, 606, 602 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 976, 606, 602 is 2.
HCF(976, 606, 602) = 2
HCF of 976, 606, 602 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 976, 606, 602 is 2.
Highest Common Factor of 976,606,602 is 2
Step 1: Since 976 > 606, we apply the division lemma to 976 and 606, to get
976 = 606 x 1 + 370
Step 2: Since the reminder 606 ≠ 0, we apply division lemma to 370 and 606, to get
606 = 370 x 1 + 236
Step 3: We consider the new divisor 370 and the new remainder 236, and apply the division lemma to get
370 = 236 x 1 + 134
We consider the new divisor 236 and the new remainder 134,and apply the division lemma to get
236 = 134 x 1 + 102
We consider the new divisor 134 and the new remainder 102,and apply the division lemma to get
134 = 102 x 1 + 32
We consider the new divisor 102 and the new remainder 32,and apply the division lemma to get
102 = 32 x 3 + 6
We consider the new divisor 32 and the new remainder 6,and apply the division lemma to get
32 = 6 x 5 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 976 and 606 is 2
Notice that 2 = HCF(6,2) = HCF(32,6) = HCF(102,32) = HCF(134,102) = HCF(236,134) = HCF(370,236) = HCF(606,370) = HCF(976,606) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 602 > 2, we apply the division lemma to 602 and 2, to get
602 = 2 x 301 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 602 is 2
Notice that 2 = HCF(602,2) .
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Frequently Asked Questions on HCF of 976, 606, 602 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 976, 606, 602?
Answer: HCF of 976, 606, 602 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 976, 606, 602 using Euclid's Algorithm?
Answer: For arbitrary numbers 976, 606, 602 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
