Highest Common Factor of 754, 8690, 4422 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 754, 8690, 4422 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 754, 8690, 4422 is 2 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 754, 8690, 4422 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 754, 8690, 4422 is 2.
HCF(754, 8690, 4422) = 2
HCF of 754, 8690, 4422 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 754, 8690, 4422 is 2.
Highest Common Factor of 754,8690,4422 is 2
Step 1: Since 8690 > 754, we apply the division lemma to 8690 and 754, to get
8690 = 754 x 11 + 396
Step 2: Since the reminder 754 ≠ 0, we apply division lemma to 396 and 754, to get
754 = 396 x 1 + 358
Step 3: We consider the new divisor 396 and the new remainder 358, and apply the division lemma to get
396 = 358 x 1 + 38
We consider the new divisor 358 and the new remainder 38,and apply the division lemma to get
358 = 38 x 9 + 16
We consider the new divisor 38 and the new remainder 16,and apply the division lemma to get
38 = 16 x 2 + 6
We consider the new divisor 16 and the new remainder 6,and apply the division lemma to get
16 = 6 x 2 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 754 and 8690 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(16,6) = HCF(38,16) = HCF(358,38) = HCF(396,358) = HCF(754,396) = HCF(8690,754) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 4422 > 2, we apply the division lemma to 4422 and 2, to get
4422 = 2 x 2211 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 4422 is 2
Notice that 2 = HCF(4422,2) .
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Frequently Asked Questions on HCF of 754, 8690, 4422 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 754, 8690, 4422?
Answer: HCF of 754, 8690, 4422 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 754, 8690, 4422 using Euclid's Algorithm?
Answer: For arbitrary numbers 754, 8690, 4422 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.