Highest Common Factor of 1901, 998 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 1901, 998 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1901, 998 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 1901, 998 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 1901, 998 is 1.
HCF(1901, 998) = 1
HCF of 1901, 998 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1901, 998 is 1.
Highest Common Factor of 1901,998 is 1
Step 1: Since 1901 > 998, we apply the division lemma to 1901 and 998, to get
1901 = 998 x 1 + 903
Step 2: Since the reminder 998 ≠ 0, we apply division lemma to 903 and 998, to get
998 = 903 x 1 + 95
Step 3: We consider the new divisor 903 and the new remainder 95, and apply the division lemma to get
903 = 95 x 9 + 48
We consider the new divisor 95 and the new remainder 48,and apply the division lemma to get
95 = 48 x 1 + 47
We consider the new divisor 48 and the new remainder 47,and apply the division lemma to get
48 = 47 x 1 + 1
We consider the new divisor 47 and the new remainder 1,and apply the division lemma to get
47 = 1 x 47 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1901 and 998 is 1
Notice that 1 = HCF(47,1) = HCF(48,47) = HCF(95,48) = HCF(903,95) = HCF(998,903) = HCF(1901,998) .
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Frequently Asked Questions on HCF of 1901, 998 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 1901, 998?
Answer: HCF of 1901, 998 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1901, 998 using Euclid's Algorithm?
Answer: For arbitrary numbers 1901, 998 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.