Highest Common Factor of 807, 654, 523, 909 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 807, 654, 523, 909 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 807, 654, 523, 909 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 807, 654, 523, 909 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 807, 654, 523, 909 is 1.
HCF(807, 654, 523, 909) = 1
HCF of 807, 654, 523, 909 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 807, 654, 523, 909 is 1.
Highest Common Factor of 807,654,523,909 is 1
Step 1: Since 807 > 654, we apply the division lemma to 807 and 654, to get
807 = 654 x 1 + 153
Step 2: Since the reminder 654 ≠ 0, we apply division lemma to 153 and 654, to get
654 = 153 x 4 + 42
Step 3: We consider the new divisor 153 and the new remainder 42, and apply the division lemma to get
153 = 42 x 3 + 27
We consider the new divisor 42 and the new remainder 27,and apply the division lemma to get
42 = 27 x 1 + 15
We consider the new divisor 27 and the new remainder 15,and apply the division lemma to get
27 = 15 x 1 + 12
We consider the new divisor 15 and the new remainder 12,and apply the division lemma to get
15 = 12 x 1 + 3
We consider the new divisor 12 and the new remainder 3,and apply the division lemma to get
12 = 3 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 807 and 654 is 3
Notice that 3 = HCF(12,3) = HCF(15,12) = HCF(27,15) = HCF(42,27) = HCF(153,42) = HCF(654,153) = HCF(807,654) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 523 > 3, we apply the division lemma to 523 and 3, to get
523 = 3 x 174 + 1
Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 1 and 3, to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3 and 523 is 1
Notice that 1 = HCF(3,1) = HCF(523,3) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 909 > 1, we apply the division lemma to 909 and 1, to get
909 = 1 x 909 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 909 is 1
Notice that 1 = HCF(909,1) .
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Frequently Asked Questions on HCF of 807, 654, 523, 909 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 807, 654, 523, 909?
Answer: HCF of 807, 654, 523, 909 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 807, 654, 523, 909 using Euclid's Algorithm?
Answer: For arbitrary numbers 807, 654, 523, 909 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.