Highest Common Factor of 945, 540, 911 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 945, 540, 911 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 945, 540, 911 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 945, 540, 911 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 945, 540, 911 is 1.
HCF(945, 540, 911) = 1
HCF of 945, 540, 911 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 945, 540, 911 is 1.
Highest Common Factor of 945,540,911 is 1
Step 1: Since 945 > 540, we apply the division lemma to 945 and 540, to get
945 = 540 x 1 + 405
Step 2: Since the reminder 540 ≠ 0, we apply division lemma to 405 and 540, to get
540 = 405 x 1 + 135
Step 3: We consider the new divisor 405 and the new remainder 135, and apply the division lemma to get
405 = 135 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 135, the HCF of 945 and 540 is 135
Notice that 135 = HCF(405,135) = HCF(540,405) = HCF(945,540) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 911 > 135, we apply the division lemma to 911 and 135, to get
911 = 135 x 6 + 101
Step 2: Since the reminder 135 ≠ 0, we apply division lemma to 101 and 135, to get
135 = 101 x 1 + 34
Step 3: We consider the new divisor 101 and the new remainder 34, and apply the division lemma to get
101 = 34 x 2 + 33
We consider the new divisor 34 and the new remainder 33,and apply the division lemma to get
34 = 33 x 1 + 1
We consider the new divisor 33 and the new remainder 1,and apply the division lemma to get
33 = 1 x 33 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 135 and 911 is 1
Notice that 1 = HCF(33,1) = HCF(34,33) = HCF(101,34) = HCF(135,101) = HCF(911,135) .
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Frequently Asked Questions on HCF of 945, 540, 911 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 945, 540, 911?
Answer: HCF of 945, 540, 911 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 945, 540, 911 using Euclid's Algorithm?
Answer: For arbitrary numbers 945, 540, 911 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.