Highest Common Factor of 203, 7274, 1878 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 203, 7274, 1878 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 203, 7274, 1878 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 203, 7274, 1878 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 203, 7274, 1878 is 1.
HCF(203, 7274, 1878) = 1
HCF of 203, 7274, 1878 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 203, 7274, 1878 is 1.
Highest Common Factor of 203,7274,1878 is 1
Step 1: Since 7274 > 203, we apply the division lemma to 7274 and 203, to get
7274 = 203 x 35 + 169
Step 2: Since the reminder 203 ≠ 0, we apply division lemma to 169 and 203, to get
203 = 169 x 1 + 34
Step 3: We consider the new divisor 169 and the new remainder 34, and apply the division lemma to get
169 = 34 x 4 + 33
We consider the new divisor 34 and the new remainder 33,and apply the division lemma to get
34 = 33 x 1 + 1
We consider the new divisor 33 and the new remainder 1,and apply the division lemma to get
33 = 1 x 33 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 203 and 7274 is 1
Notice that 1 = HCF(33,1) = HCF(34,33) = HCF(169,34) = HCF(203,169) = HCF(7274,203) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 1878 > 1, we apply the division lemma to 1878 and 1, to get
1878 = 1 x 1878 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 1878 is 1
Notice that 1 = HCF(1878,1) .
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Frequently Asked Questions on HCF of 203, 7274, 1878 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 203, 7274, 1878?
Answer: HCF of 203, 7274, 1878 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 203, 7274, 1878 using Euclid's Algorithm?
Answer: For arbitrary numbers 203, 7274, 1878 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.