Highest Common Factor of 146, 636, 945 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 146, 636, 945 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 146, 636, 945 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 146, 636, 945 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 146, 636, 945 is 1.
HCF(146, 636, 945) = 1
HCF of 146, 636, 945 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 146, 636, 945 is 1.
Highest Common Factor of 146,636,945 is 1
Step 1: Since 636 > 146, we apply the division lemma to 636 and 146, to get
636 = 146 x 4 + 52
Step 2: Since the reminder 146 ≠ 0, we apply division lemma to 52 and 146, to get
146 = 52 x 2 + 42
Step 3: We consider the new divisor 52 and the new remainder 42, and apply the division lemma to get
52 = 42 x 1 + 10
We consider the new divisor 42 and the new remainder 10,and apply the division lemma to get
42 = 10 x 4 + 2
We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get
10 = 2 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 146 and 636 is 2
Notice that 2 = HCF(10,2) = HCF(42,10) = HCF(52,42) = HCF(146,52) = HCF(636,146) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 945 > 2, we apply the division lemma to 945 and 2, to get
945 = 2 x 472 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 945 is 1
Notice that 1 = HCF(2,1) = HCF(945,2) .
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Frequently Asked Questions on HCF of 146, 636, 945 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 146, 636, 945?
Answer: HCF of 146, 636, 945 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 146, 636, 945 using Euclid's Algorithm?
Answer: For arbitrary numbers 146, 636, 945 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.