Highest Common Factor of 666, 957, 350, 670 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, 957, 350, 670 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 666, 957, 350, 670 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, 957, 350, 670 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, 957, 350, 670 is 1.
HCF(666, 957, 350, 670) = 1
HCF of 666, 957, 350, 670 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, 957, 350, 670 is 1.
Highest Common Factor of 666,957,350,670 is 1
Step 1: Since 957 > 666, we apply the division lemma to 957 and 666, to get
957 = 666 x 1 + 291
Step 2: Since the reminder 666 ≠ 0, we apply division lemma to 291 and 666, to get
666 = 291 x 2 + 84
Step 3: We consider the new divisor 291 and the new remainder 84, and apply the division lemma to get
291 = 84 x 3 + 39
We consider the new divisor 84 and the new remainder 39,and apply the division lemma to get
84 = 39 x 2 + 6
We consider the new divisor 39 and the new remainder 6,and apply the division lemma to get
39 = 6 x 6 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 666 and 957 is 3
Notice that 3 = HCF(6,3) = HCF(39,6) = HCF(84,39) = HCF(291,84) = HCF(666,291) = HCF(957,666) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 350 > 3, we apply the division lemma to 350 and 3, to get
350 = 3 x 116 + 2
Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 2 and 3, to get
3 = 2 x 1 + 1
Step 3: 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 3 and 350 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(350,3) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 670 > 1, we apply the division lemma to 670 and 1, to get
670 = 1 x 670 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 670 is 1
Notice that 1 = HCF(670,1) .
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Frequently Asked Questions on HCF of 666, 957, 350, 670 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, 957, 350, 670?
Answer: HCF of 666, 957, 350, 670 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 666, 957, 350, 670 using Euclid's Algorithm?
Answer: For arbitrary numbers 666, 957, 350, 670 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.