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 8942, 5361 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8942, 5361 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 8942, 5361 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 8942, 5361 is 1.
HCF(8942, 5361) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8942, 5361 is 1.
Step 1: Since 8942 > 5361, we apply the division lemma to 8942 and 5361, to get
8942 = 5361 x 1 + 3581
Step 2: Since the reminder 5361 ≠ 0, we apply division lemma to 3581 and 5361, to get
5361 = 3581 x 1 + 1780
Step 3: We consider the new divisor 3581 and the new remainder 1780, and apply the division lemma to get
3581 = 1780 x 2 + 21
We consider the new divisor 1780 and the new remainder 21,and apply the division lemma to get
1780 = 21 x 84 + 16
We consider the new divisor 21 and the new remainder 16,and apply the division lemma to get
21 = 16 x 1 + 5
We consider the new divisor 16 and the new remainder 5,and apply the division lemma to get
16 = 5 x 3 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8942 and 5361 is 1
Notice that 1 = HCF(5,1) = HCF(16,5) = HCF(21,16) = HCF(1780,21) = HCF(3581,1780) = HCF(5361,3581) = HCF(8942,5361) .
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 8942, 5361?
Answer: HCF of 8942, 5361 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8942, 5361 using Euclid's Algorithm?
Answer: For arbitrary numbers 8942, 5361 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.