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, 86519 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 998, 86519 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, 86519 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, 86519 is 1.
HCF(998, 86519) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 998, 86519 is 1.
Step 1: Since 86519 > 998, we apply the division lemma to 86519 and 998, to get
86519 = 998 x 86 + 691
Step 2: Since the reminder 998 ≠ 0, we apply division lemma to 691 and 998, to get
998 = 691 x 1 + 307
Step 3: We consider the new divisor 691 and the new remainder 307, and apply the division lemma to get
691 = 307 x 2 + 77
We consider the new divisor 307 and the new remainder 77,and apply the division lemma to get
307 = 77 x 3 + 76
We consider the new divisor 77 and the new remainder 76,and apply the division lemma to get
77 = 76 x 1 + 1
We consider the new divisor 76 and the new remainder 1,and apply the division lemma to get
76 = 1 x 76 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 998 and 86519 is 1
Notice that 1 = HCF(76,1) = HCF(77,76) = HCF(307,77) = HCF(691,307) = HCF(998,691) = HCF(86519,998) .
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, 86519?
Answer: HCF of 998, 86519 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 998, 86519 using Euclid's Algorithm?
Answer: For arbitrary numbers 998, 86519 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.