Highest Common Factor of 2235, 7241 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 2235, 7241 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2235, 7241 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 2235, 7241 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 2235, 7241 is 1.
HCF(2235, 7241) = 1
HCF of 2235, 7241 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2235, 7241 is 1.
Highest Common Factor of 2235,7241 is 1
Step 1: Since 7241 > 2235, we apply the division lemma to 7241 and 2235, to get
7241 = 2235 x 3 + 536
Step 2: Since the reminder 2235 ≠ 0, we apply division lemma to 536 and 2235, to get
2235 = 536 x 4 + 91
Step 3: We consider the new divisor 536 and the new remainder 91, and apply the division lemma to get
536 = 91 x 5 + 81
We consider the new divisor 91 and the new remainder 81,and apply the division lemma to get
91 = 81 x 1 + 10
We consider the new divisor 81 and the new remainder 10,and apply the division lemma to get
81 = 10 x 8 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2235 and 7241 is 1
Notice that 1 = HCF(10,1) = HCF(81,10) = HCF(91,81) = HCF(536,91) = HCF(2235,536) = HCF(7241,2235) .
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Frequently Asked Questions on HCF of 2235, 7241 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 2235, 7241?
Answer: HCF of 2235, 7241 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2235, 7241 using Euclid's Algorithm?
Answer: For arbitrary numbers 2235, 7241 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.