Highest Common Factor of 307, 744 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 307, 744 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 307, 744 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 307, 744 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 307, 744 is 1.
HCF(307, 744) = 1
HCF of 307, 744 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 307, 744 is 1.
Highest Common Factor of 307,744 is 1
Step 1: Since 744 > 307, we apply the division lemma to 744 and 307, to get
744 = 307 x 2 + 130
Step 2: Since the reminder 307 ≠ 0, we apply division lemma to 130 and 307, to get
307 = 130 x 2 + 47
Step 3: We consider the new divisor 130 and the new remainder 47, and apply the division lemma to get
130 = 47 x 2 + 36
We consider the new divisor 47 and the new remainder 36,and apply the division lemma to get
47 = 36 x 1 + 11
We consider the new divisor 36 and the new remainder 11,and apply the division lemma to get
36 = 11 x 3 + 3
We consider the new divisor 11 and the new remainder 3,and apply the division lemma to get
11 = 3 x 3 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 307 and 744 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(11,3) = HCF(36,11) = HCF(47,36) = HCF(130,47) = HCF(307,130) = HCF(744,307) .
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Frequently Asked Questions on HCF of 307, 744 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 307, 744?
Answer: HCF of 307, 744 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 307, 744 using Euclid's Algorithm?
Answer: For arbitrary numbers 307, 744 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.