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 9941, 5027 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9941, 5027 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 9941, 5027 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 9941, 5027 is 1.
HCF(9941, 5027) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9941, 5027 is 1.
Step 1: Since 9941 > 5027, we apply the division lemma to 9941 and 5027, to get
9941 = 5027 x 1 + 4914
Step 2: Since the reminder 5027 ≠ 0, we apply division lemma to 4914 and 5027, to get
5027 = 4914 x 1 + 113
Step 3: We consider the new divisor 4914 and the new remainder 113, and apply the division lemma to get
4914 = 113 x 43 + 55
We consider the new divisor 113 and the new remainder 55,and apply the division lemma to get
113 = 55 x 2 + 3
We consider the new divisor 55 and the new remainder 3,and apply the division lemma to get
55 = 3 x 18 + 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 9941 and 5027 is 1
Notice that 1 = HCF(3,1) = HCF(55,3) = HCF(113,55) = HCF(4914,113) = HCF(5027,4914) = HCF(9941,5027) .
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 9941, 5027?
Answer: HCF of 9941, 5027 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9941, 5027 using Euclid's Algorithm?
Answer: For arbitrary numbers 9941, 5027 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.