Highest Common Factor of 733, 91319 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 733, 91319 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 733, 91319 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 733, 91319 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 733, 91319 is 1.
HCF(733, 91319) = 1
HCF of 733, 91319 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 733, 91319 is 1.
Highest Common Factor of 733,91319 is 1
Step 1: Since 91319 > 733, we apply the division lemma to 91319 and 733, to get
91319 = 733 x 124 + 427
Step 2: Since the reminder 733 ≠ 0, we apply division lemma to 427 and 733, to get
733 = 427 x 1 + 306
Step 3: We consider the new divisor 427 and the new remainder 306, and apply the division lemma to get
427 = 306 x 1 + 121
We consider the new divisor 306 and the new remainder 121,and apply the division lemma to get
306 = 121 x 2 + 64
We consider the new divisor 121 and the new remainder 64,and apply the division lemma to get
121 = 64 x 1 + 57
We consider the new divisor 64 and the new remainder 57,and apply the division lemma to get
64 = 57 x 1 + 7
We consider the new divisor 57 and the new remainder 7,and apply the division lemma to get
57 = 7 x 8 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 733 and 91319 is 1
Notice that 1 = HCF(7,1) = HCF(57,7) = HCF(64,57) = HCF(121,64) = HCF(306,121) = HCF(427,306) = HCF(733,427) = HCF(91319,733) .
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Frequently Asked Questions on HCF of 733, 91319 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 733, 91319?
Answer: HCF of 733, 91319 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 733, 91319 using Euclid's Algorithm?
Answer: For arbitrary numbers 733, 91319 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.