Highest Common Factor of 602, 830, 152 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, 830, 152 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 602, 830, 152 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, 830, 152 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, 830, 152 is 2.
HCF(602, 830, 152) = 2
HCF of 602, 830, 152 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, 830, 152 is 2.
Highest Common Factor of 602,830,152 is 2
Step 1: Since 830 > 602, we apply the division lemma to 830 and 602, to get
830 = 602 x 1 + 228
Step 2: Since the reminder 602 ≠ 0, we apply division lemma to 228 and 602, to get
602 = 228 x 2 + 146
Step 3: We consider the new divisor 228 and the new remainder 146, and apply the division lemma to get
228 = 146 x 1 + 82
We consider the new divisor 146 and the new remainder 82,and apply the division lemma to get
146 = 82 x 1 + 64
We consider the new divisor 82 and the new remainder 64,and apply the division lemma to get
82 = 64 x 1 + 18
We consider the new divisor 64 and the new remainder 18,and apply the division lemma to get
64 = 18 x 3 + 10
We consider the new divisor 18 and the new remainder 10,and apply the division lemma to get
18 = 10 x 1 + 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 602 and 830 is 2
Notice that 2 = HCF(8,2) = HCF(10,8) = HCF(18,10) = HCF(64,18) = HCF(82,64) = HCF(146,82) = HCF(228,146) = HCF(602,228) = HCF(830,602) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 152 > 2, we apply the division lemma to 152 and 2, to get
152 = 2 x 76 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 152 is 2
Notice that 2 = HCF(152,2) .
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Frequently Asked Questions on HCF of 602, 830, 152 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, 830, 152?
Answer: HCF of 602, 830, 152 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 602, 830, 152 using Euclid's Algorithm?
Answer: For arbitrary numbers 602, 830, 152 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.