Highest Common Factor of 203, 553, 91 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, 553, 91 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 203, 553, 91 is 7 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, 553, 91 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, 553, 91 is 7.
HCF(203, 553, 91) = 7
HCF of 203, 553, 91 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, 553, 91 is 7.
Highest Common Factor of 203,553,91 is 7
Step 1: Since 553 > 203, we apply the division lemma to 553 and 203, to get
553 = 203 x 2 + 147
Step 2: Since the reminder 203 ≠ 0, we apply division lemma to 147 and 203, to get
203 = 147 x 1 + 56
Step 3: We consider the new divisor 147 and the new remainder 56, and apply the division lemma to get
147 = 56 x 2 + 35
We consider the new divisor 56 and the new remainder 35,and apply the division lemma to get
56 = 35 x 1 + 21
We consider the new divisor 35 and the new remainder 21,and apply the division lemma to get
35 = 21 x 1 + 14
We consider the new divisor 21 and the new remainder 14,and apply the division lemma to get
21 = 14 x 1 + 7
We consider the new divisor 14 and the new remainder 7,and apply the division lemma to get
14 = 7 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 203 and 553 is 7
Notice that 7 = HCF(14,7) = HCF(21,14) = HCF(35,21) = HCF(56,35) = HCF(147,56) = HCF(203,147) = HCF(553,203) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 91 > 7, we apply the division lemma to 91 and 7, to get
91 = 7 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 7 and 91 is 7
Notice that 7 = HCF(91,7) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 203, 553, 91 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, 553, 91?
Answer: HCF of 203, 553, 91 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 203, 553, 91 using Euclid's Algorithm?
Answer: For arbitrary numbers 203, 553, 91 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.