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 4199, 5967 i.e. 221 the largest integer that leaves a remainder zero for all numbers.
HCF of 4199, 5967 is 221 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 4199, 5967 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 4199, 5967 is 221.
HCF(4199, 5967) = 221
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4199, 5967 is 221.
Step 1: Since 5967 > 4199, we apply the division lemma to 5967 and 4199, to get
5967 = 4199 x 1 + 1768
Step 2: Since the reminder 4199 ≠ 0, we apply division lemma to 1768 and 4199, to get
4199 = 1768 x 2 + 663
Step 3: We consider the new divisor 1768 and the new remainder 663, and apply the division lemma to get
1768 = 663 x 2 + 442
We consider the new divisor 663 and the new remainder 442,and apply the division lemma to get
663 = 442 x 1 + 221
We consider the new divisor 442 and the new remainder 221,and apply the division lemma to get
442 = 221 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 221, the HCF of 4199 and 5967 is 221
Notice that 221 = HCF(442,221) = HCF(663,442) = HCF(1768,663) = HCF(4199,1768) = HCF(5967,4199) .
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 4199, 5967?
Answer: HCF of 4199, 5967 is 221 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4199, 5967 using Euclid's Algorithm?
Answer: For arbitrary numbers 4199, 5967 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.