Highest Common Factor of 666, 947, 861, 530 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 666, 947, 861, 530 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 666, 947, 861, 530 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 666, 947, 861, 530 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 666, 947, 861, 530 is 1.
HCF(666, 947, 861, 530) = 1
HCF of 666, 947, 861, 530 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 666, 947, 861, 530 is 1.
Highest Common Factor of 666,947,861,530 is 1
Step 1: Since 947 > 666, we apply the division lemma to 947 and 666, to get
947 = 666 x 1 + 281
Step 2: Since the reminder 666 ≠ 0, we apply division lemma to 281 and 666, to get
666 = 281 x 2 + 104
Step 3: We consider the new divisor 281 and the new remainder 104, and apply the division lemma to get
281 = 104 x 2 + 73
We consider the new divisor 104 and the new remainder 73,and apply the division lemma to get
104 = 73 x 1 + 31
We consider the new divisor 73 and the new remainder 31,and apply the division lemma to get
73 = 31 x 2 + 11
We consider the new divisor 31 and the new remainder 11,and apply the division lemma to get
31 = 11 x 2 + 9
We consider the new divisor 11 and the new remainder 9,and apply the division lemma to get
11 = 9 x 1 + 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 666 and 947 is 1
Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(11,9) = HCF(31,11) = HCF(73,31) = HCF(104,73) = HCF(281,104) = HCF(666,281) = HCF(947,666) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 861 > 1, we apply the division lemma to 861 and 1, to get
861 = 1 x 861 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 861 is 1
Notice that 1 = HCF(861,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 530 > 1, we apply the division lemma to 530 and 1, to get
530 = 1 x 530 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 530 is 1
Notice that 1 = HCF(530,1) .
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Frequently Asked Questions on HCF of 666, 947, 861, 530 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 666, 947, 861, 530?
Answer: HCF of 666, 947, 861, 530 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 666, 947, 861, 530 using Euclid's Algorithm?
Answer: For arbitrary numbers 666, 947, 861, 530 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.