Highest Common Factor of 419, 990, 701 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 419, 990, 701 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 419, 990, 701 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 419, 990, 701 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 419, 990, 701 is 1.
HCF(419, 990, 701) = 1
HCF of 419, 990, 701 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 419, 990, 701 is 1.
Highest Common Factor of 419,990,701 is 1
Step 1: Since 990 > 419, we apply the division lemma to 990 and 419, to get
990 = 419 x 2 + 152
Step 2: Since the reminder 419 ≠ 0, we apply division lemma to 152 and 419, to get
419 = 152 x 2 + 115
Step 3: We consider the new divisor 152 and the new remainder 115, and apply the division lemma to get
152 = 115 x 1 + 37
We consider the new divisor 115 and the new remainder 37,and apply the division lemma to get
115 = 37 x 3 + 4
We consider the new divisor 37 and the new remainder 4,and apply the division lemma to get
37 = 4 x 9 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 419 and 990 is 1
Notice that 1 = HCF(4,1) = HCF(37,4) = HCF(115,37) = HCF(152,115) = HCF(419,152) = HCF(990,419) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 701 > 1, we apply the division lemma to 701 and 1, to get
701 = 1 x 701 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 701 is 1
Notice that 1 = HCF(701,1) .
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Frequently Asked Questions on HCF of 419, 990, 701 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 419, 990, 701?
Answer: HCF of 419, 990, 701 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 419, 990, 701 using Euclid's Algorithm?
Answer: For arbitrary numbers 419, 990, 701 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.