Highest Common Factor of 7333, 2897 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 7333, 2897 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7333, 2897 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 7333, 2897 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 7333, 2897 is 1.
HCF(7333, 2897) = 1
HCF of 7333, 2897 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7333, 2897 is 1.
Highest Common Factor of 7333,2897 is 1
Step 1: Since 7333 > 2897, we apply the division lemma to 7333 and 2897, to get
7333 = 2897 x 2 + 1539
Step 2: Since the reminder 2897 ≠ 0, we apply division lemma to 1539 and 2897, to get
2897 = 1539 x 1 + 1358
Step 3: We consider the new divisor 1539 and the new remainder 1358, and apply the division lemma to get
1539 = 1358 x 1 + 181
We consider the new divisor 1358 and the new remainder 181,and apply the division lemma to get
1358 = 181 x 7 + 91
We consider the new divisor 181 and the new remainder 91,and apply the division lemma to get
181 = 91 x 1 + 90
We consider the new divisor 91 and the new remainder 90,and apply the division lemma to get
91 = 90 x 1 + 1
We consider the new divisor 90 and the new remainder 1,and apply the division lemma to get
90 = 1 x 90 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7333 and 2897 is 1
Notice that 1 = HCF(90,1) = HCF(91,90) = HCF(181,91) = HCF(1358,181) = HCF(1539,1358) = HCF(2897,1539) = HCF(7333,2897) .
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Frequently Asked Questions on HCF of 7333, 2897 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 7333, 2897?
Answer: HCF of 7333, 2897 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7333, 2897 using Euclid's Algorithm?
Answer: For arbitrary numbers 7333, 2897 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.