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 5954, 4382 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5954, 4382 is 2 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 5954, 4382 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 5954, 4382 is 2.
HCF(5954, 4382) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5954, 4382 is 2.
Step 1: Since 5954 > 4382, we apply the division lemma to 5954 and 4382, to get
5954 = 4382 x 1 + 1572
Step 2: Since the reminder 4382 ≠ 0, we apply division lemma to 1572 and 4382, to get
4382 = 1572 x 2 + 1238
Step 3: We consider the new divisor 1572 and the new remainder 1238, and apply the division lemma to get
1572 = 1238 x 1 + 334
We consider the new divisor 1238 and the new remainder 334,and apply the division lemma to get
1238 = 334 x 3 + 236
We consider the new divisor 334 and the new remainder 236,and apply the division lemma to get
334 = 236 x 1 + 98
We consider the new divisor 236 and the new remainder 98,and apply the division lemma to get
236 = 98 x 2 + 40
We consider the new divisor 98 and the new remainder 40,and apply the division lemma to get
98 = 40 x 2 + 18
We consider the new divisor 40 and the new remainder 18,and apply the division lemma to get
40 = 18 x 2 + 4
We consider the new divisor 18 and the new remainder 4,and apply the division lemma to get
18 = 4 x 4 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5954 and 4382 is 2
Notice that 2 = HCF(4,2) = HCF(18,4) = HCF(40,18) = HCF(98,40) = HCF(236,98) = HCF(334,236) = HCF(1238,334) = HCF(1572,1238) = HCF(4382,1572) = HCF(5954,4382) .
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 5954, 4382?
Answer: HCF of 5954, 4382 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5954, 4382 using Euclid's Algorithm?
Answer: For arbitrary numbers 5954, 4382 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.