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 288, 1350 i.e. 18 the largest integer that leaves a remainder zero for all numbers.
HCF of 288, 1350 is 18 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 288, 1350 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 288, 1350 is 18.
HCF(288, 1350) = 18
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 288, 1350 is 18.
Step 1: Since 1350 > 288, we apply the division lemma to 1350 and 288, to get
1350 = 288 x 4 + 198
Step 2: Since the reminder 288 ≠ 0, we apply division lemma to 198 and 288, to get
288 = 198 x 1 + 90
Step 3: We consider the new divisor 198 and the new remainder 90, and apply the division lemma to get
198 = 90 x 2 + 18
We consider the new divisor 90 and the new remainder 18, and apply the division lemma to get
90 = 18 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 18, the HCF of 288 and 1350 is 18
Notice that 18 = HCF(90,18) = HCF(198,90) = HCF(288,198) = HCF(1350,288) .
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 288, 1350?
Answer: HCF of 288, 1350 is 18 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 288, 1350 using Euclid's Algorithm?
Answer: For arbitrary numbers 288, 1350 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.