Highest Common Factor of 666, 444, 703, 722 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, 444, 703, 722 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 666, 444, 703, 722 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, 444, 703, 722 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, 444, 703, 722 is 1.
HCF(666, 444, 703, 722) = 1
HCF of 666, 444, 703, 722 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, 444, 703, 722 is 1.
Highest Common Factor of 666,444,703,722 is 1
Step 1: Since 666 > 444, we apply the division lemma to 666 and 444, to get
666 = 444 x 1 + 222
Step 2: Since the reminder 444 ≠ 0, we apply division lemma to 222 and 444, to get
444 = 222 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 222, the HCF of 666 and 444 is 222
Notice that 222 = HCF(444,222) = HCF(666,444) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 703 > 222, we apply the division lemma to 703 and 222, to get
703 = 222 x 3 + 37
Step 2: Since the reminder 222 ≠ 0, we apply division lemma to 37 and 222, to get
222 = 37 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 37, the HCF of 222 and 703 is 37
Notice that 37 = HCF(222,37) = HCF(703,222) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 722 > 37, we apply the division lemma to 722 and 37, to get
722 = 37 x 19 + 19
Step 2: Since the reminder 37 ≠ 0, we apply division lemma to 19 and 37, to get
37 = 19 x 1 + 18
Step 3: We consider the new divisor 19 and the new remainder 18, and apply the division lemma to get
19 = 18 x 1 + 1
We consider the new divisor 18 and the new remainder 1, and apply the division lemma to get
18 = 1 x 18 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 37 and 722 is 1
Notice that 1 = HCF(18,1) = HCF(19,18) = HCF(37,19) = HCF(722,37) .
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Frequently Asked Questions on HCF of 666, 444, 703, 722 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, 444, 703, 722?
Answer: HCF of 666, 444, 703, 722 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 666, 444, 703, 722 using Euclid's Algorithm?
Answer: For arbitrary numbers 666, 444, 703, 722 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.