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 1344, 801 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 1344, 801 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 1344, 801 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 1344, 801 is 3.
HCF(1344, 801) = 3
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1344, 801 is 3.
Step 1: Since 1344 > 801, we apply the division lemma to 1344 and 801, to get
1344 = 801 x 1 + 543
Step 2: Since the reminder 801 ≠ 0, we apply division lemma to 543 and 801, to get
801 = 543 x 1 + 258
Step 3: We consider the new divisor 543 and the new remainder 258, and apply the division lemma to get
543 = 258 x 2 + 27
We consider the new divisor 258 and the new remainder 27,and apply the division lemma to get
258 = 27 x 9 + 15
We consider the new divisor 27 and the new remainder 15,and apply the division lemma to get
27 = 15 x 1 + 12
We consider the new divisor 15 and the new remainder 12,and apply the division lemma to get
15 = 12 x 1 + 3
We consider the new divisor 12 and the new remainder 3,and apply the division lemma to get
12 = 3 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 1344 and 801 is 3
Notice that 3 = HCF(12,3) = HCF(15,12) = HCF(27,15) = HCF(258,27) = HCF(543,258) = HCF(801,543) = HCF(1344,801) .
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 1344, 801?
Answer: HCF of 1344, 801 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1344, 801 using Euclid's Algorithm?
Answer: For arbitrary numbers 1344, 801 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.