Highest Common Factor of 736, 76357 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 736, 76357 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 736, 76357 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 736, 76357 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 736, 76357 is 1.
HCF(736, 76357) = 1
HCF of 736, 76357 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 736, 76357 is 1.
Highest Common Factor of 736,76357 is 1
Step 1: Since 76357 > 736, we apply the division lemma to 76357 and 736, to get
76357 = 736 x 103 + 549
Step 2: Since the reminder 736 ≠ 0, we apply division lemma to 549 and 736, to get
736 = 549 x 1 + 187
Step 3: We consider the new divisor 549 and the new remainder 187, and apply the division lemma to get
549 = 187 x 2 + 175
We consider the new divisor 187 and the new remainder 175,and apply the division lemma to get
187 = 175 x 1 + 12
We consider the new divisor 175 and the new remainder 12,and apply the division lemma to get
175 = 12 x 14 + 7
We consider the new divisor 12 and the new remainder 7,and apply the division lemma to get
12 = 7 x 1 + 5
We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get
7 = 5 x 1 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 736 and 76357 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(12,7) = HCF(175,12) = HCF(187,175) = HCF(549,187) = HCF(736,549) = HCF(76357,736) .
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Frequently Asked Questions on HCF of 736, 76357 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 736, 76357?
Answer: HCF of 736, 76357 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 736, 76357 using Euclid's Algorithm?
Answer: For arbitrary numbers 736, 76357 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.