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 998, 90191 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 998, 90191 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 998, 90191 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 998, 90191 is 1.
HCF(998, 90191) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 998, 90191 is 1.
Step 1: Since 90191 > 998, we apply the division lemma to 90191 and 998, to get
90191 = 998 x 90 + 371
Step 2: Since the reminder 998 ≠ 0, we apply division lemma to 371 and 998, to get
998 = 371 x 2 + 256
Step 3: We consider the new divisor 371 and the new remainder 256, and apply the division lemma to get
371 = 256 x 1 + 115
We consider the new divisor 256 and the new remainder 115,and apply the division lemma to get
256 = 115 x 2 + 26
We consider the new divisor 115 and the new remainder 26,and apply the division lemma to get
115 = 26 x 4 + 11
We consider the new divisor 26 and the new remainder 11,and apply the division lemma to get
26 = 11 x 2 + 4
We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get
11 = 4 x 2 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 998 and 90191 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(26,11) = HCF(115,26) = HCF(256,115) = HCF(371,256) = HCF(998,371) = HCF(90191,998) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 998, 90191?
Answer: HCF of 998, 90191 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 998, 90191 using Euclid's Algorithm?
Answer: For arbitrary numbers 998, 90191 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.