Highest Common Factor of 602, 820, 370 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 602, 820, 370 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 602, 820, 370 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 602, 820, 370 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 602, 820, 370 is 2.
HCF(602, 820, 370) = 2
HCF of 602, 820, 370 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 602, 820, 370 is 2.
Highest Common Factor of 602,820,370 is 2
Step 1: Since 820 > 602, we apply the division lemma to 820 and 602, to get
820 = 602 x 1 + 218
Step 2: Since the reminder 602 ≠ 0, we apply division lemma to 218 and 602, to get
602 = 218 x 2 + 166
Step 3: We consider the new divisor 218 and the new remainder 166, and apply the division lemma to get
218 = 166 x 1 + 52
We consider the new divisor 166 and the new remainder 52,and apply the division lemma to get
166 = 52 x 3 + 10
We consider the new divisor 52 and the new remainder 10,and apply the division lemma to get
52 = 10 x 5 + 2
We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get
10 = 2 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 602 and 820 is 2
Notice that 2 = HCF(10,2) = HCF(52,10) = HCF(166,52) = HCF(218,166) = HCF(602,218) = HCF(820,602) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 370 > 2, we apply the division lemma to 370 and 2, to get
370 = 2 x 185 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 370 is 2
Notice that 2 = HCF(370,2) .
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Frequently Asked Questions on HCF of 602, 820, 370 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 602, 820, 370?
Answer: HCF of 602, 820, 370 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 602, 820, 370 using Euclid's Algorithm?
Answer: For arbitrary numbers 602, 820, 370 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.