Highest Common Factor of 693, 884, 540, 87 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 693, 884, 540, 87 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 693, 884, 540, 87 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 693, 884, 540, 87 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 693, 884, 540, 87 is 1.
HCF(693, 884, 540, 87) = 1
HCF of 693, 884, 540, 87 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 693, 884, 540, 87 is 1.
Highest Common Factor of 693,884,540,87 is 1
Step 1: Since 884 > 693, we apply the division lemma to 884 and 693, to get
884 = 693 x 1 + 191
Step 2: Since the reminder 693 ≠ 0, we apply division lemma to 191 and 693, to get
693 = 191 x 3 + 120
Step 3: We consider the new divisor 191 and the new remainder 120, and apply the division lemma to get
191 = 120 x 1 + 71
We consider the new divisor 120 and the new remainder 71,and apply the division lemma to get
120 = 71 x 1 + 49
We consider the new divisor 71 and the new remainder 49,and apply the division lemma to get
71 = 49 x 1 + 22
We consider the new divisor 49 and the new remainder 22,and apply the division lemma to get
49 = 22 x 2 + 5
We consider the new divisor 22 and the new remainder 5,and apply the division lemma to get
22 = 5 x 4 + 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 693 and 884 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(22,5) = HCF(49,22) = HCF(71,49) = HCF(120,71) = HCF(191,120) = HCF(693,191) = HCF(884,693) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 540 > 1, we apply the division lemma to 540 and 1, to get
540 = 1 x 540 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 540 is 1
Notice that 1 = HCF(540,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 87 > 1, we apply the division lemma to 87 and 1, to get
87 = 1 x 87 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 87 is 1
Notice that 1 = HCF(87,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 693, 884, 540, 87 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 693, 884, 540, 87?
Answer: HCF of 693, 884, 540, 87 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 693, 884, 540, 87 using Euclid's Algorithm?
Answer: For arbitrary numbers 693, 884, 540, 87 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.