Highest Common Factor of 994, 421 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 994, 421 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 994, 421 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 994, 421 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 994, 421 is 1.
HCF(994, 421) = 1
HCF of 994, 421 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 994, 421 is 1.
Highest Common Factor of 994,421 is 1
Step 1: Since 994 > 421, we apply the division lemma to 994 and 421, to get
994 = 421 x 2 + 152
Step 2: Since the reminder 421 ≠ 0, we apply division lemma to 152 and 421, to get
421 = 152 x 2 + 117
Step 3: We consider the new divisor 152 and the new remainder 117, and apply the division lemma to get
152 = 117 x 1 + 35
We consider the new divisor 117 and the new remainder 35,and apply the division lemma to get
117 = 35 x 3 + 12
We consider the new divisor 35 and the new remainder 12,and apply the division lemma to get
35 = 12 x 2 + 11
We consider the new divisor 12 and the new remainder 11,and apply the division lemma to get
12 = 11 x 1 + 1
We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 994 and 421 is 1
Notice that 1 = HCF(11,1) = HCF(12,11) = HCF(35,12) = HCF(117,35) = HCF(152,117) = HCF(421,152) = HCF(994,421) .
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Frequently Asked Questions on HCF of 994, 421 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 994, 421?
Answer: HCF of 994, 421 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 994, 421 using Euclid's Algorithm?
Answer: For arbitrary numbers 994, 421 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.