Highest Common Factor of 745, 149, 765 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 745, 149, 765 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 745, 149, 765 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 745, 149, 765 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 745, 149, 765 is 1.
HCF(745, 149, 765) = 1
HCF of 745, 149, 765 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 745, 149, 765 is 1.
Highest Common Factor of 745,149,765 is 1
Step 1: Since 745 > 149, we apply the division lemma to 745 and 149, to get
745 = 149 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 149, the HCF of 745 and 149 is 149
Notice that 149 = HCF(745,149) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 765 > 149, we apply the division lemma to 765 and 149, to get
765 = 149 x 5 + 20
Step 2: Since the reminder 149 ≠ 0, we apply division lemma to 20 and 149, to get
149 = 20 x 7 + 9
Step 3: We consider the new divisor 20 and the new remainder 9, and apply the division lemma to get
20 = 9 x 2 + 2
We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get
9 = 2 x 4 + 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 149 and 765 is 1
Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(20,9) = HCF(149,20) = HCF(765,149) .
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Frequently Asked Questions on HCF of 745, 149, 765 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 745, 149, 765?
Answer: HCF of 745, 149, 765 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 745, 149, 765 using Euclid's Algorithm?
Answer: For arbitrary numbers 745, 149, 765 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
