Highest Common Factor of 951, 2985, 6203 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 951, 2985, 6203 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 951, 2985, 6203 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 951, 2985, 6203 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 951, 2985, 6203 is 1.
HCF(951, 2985, 6203) = 1
HCF of 951, 2985, 6203 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 951, 2985, 6203 is 1.
Highest Common Factor of 951,2985,6203 is 1
Step 1: Since 2985 > 951, we apply the division lemma to 2985 and 951, to get
2985 = 951 x 3 + 132
Step 2: Since the reminder 951 ≠ 0, we apply division lemma to 132 and 951, to get
951 = 132 x 7 + 27
Step 3: We consider the new divisor 132 and the new remainder 27, and apply the division lemma to get
132 = 27 x 4 + 24
We consider the new divisor 27 and the new remainder 24,and apply the division lemma to get
27 = 24 x 1 + 3
We consider the new divisor 24 and the new remainder 3,and apply the division lemma to get
24 = 3 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 951 and 2985 is 3
Notice that 3 = HCF(24,3) = HCF(27,24) = HCF(132,27) = HCF(951,132) = HCF(2985,951) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 6203 > 3, we apply the division lemma to 6203 and 3, to get
6203 = 3 x 2067 + 2
Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 2 and 3, to get
3 = 2 x 1 + 1
Step 3: 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 3 and 6203 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(6203,3) .
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Frequently Asked Questions on HCF of 951, 2985, 6203 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 951, 2985, 6203?
Answer: HCF of 951, 2985, 6203 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 951, 2985, 6203 using Euclid's Algorithm?
Answer: For arbitrary numbers 951, 2985, 6203 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.