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 5448, 4431 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 5448, 4431 is 3 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 5448, 4431 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 5448, 4431 is 3.
HCF(5448, 4431) = 3
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5448, 4431 is 3.
Step 1: Since 5448 > 4431, we apply the division lemma to 5448 and 4431, to get
5448 = 4431 x 1 + 1017
Step 2: Since the reminder 4431 ≠ 0, we apply division lemma to 1017 and 4431, to get
4431 = 1017 x 4 + 363
Step 3: We consider the new divisor 1017 and the new remainder 363, and apply the division lemma to get
1017 = 363 x 2 + 291
We consider the new divisor 363 and the new remainder 291,and apply the division lemma to get
363 = 291 x 1 + 72
We consider the new divisor 291 and the new remainder 72,and apply the division lemma to get
291 = 72 x 4 + 3
We consider the new divisor 72 and the new remainder 3,and apply the division lemma to get
72 = 3 x 24 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 5448 and 4431 is 3
Notice that 3 = HCF(72,3) = HCF(291,72) = HCF(363,291) = HCF(1017,363) = HCF(4431,1017) = HCF(5448,4431) .
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 5448, 4431?
Answer: HCF of 5448, 4431 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5448, 4431 using Euclid's Algorithm?
Answer: For arbitrary numbers 5448, 4431 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.