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 750, 282, 807 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 750, 282, 807 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 750, 282, 807 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 750, 282, 807 is 3.
HCF(750, 282, 807) = 3
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 750, 282, 807 is 3.
Step 1: Since 750 > 282, we apply the division lemma to 750 and 282, to get
750 = 282 x 2 + 186
Step 2: Since the reminder 282 ≠ 0, we apply division lemma to 186 and 282, to get
282 = 186 x 1 + 96
Step 3: We consider the new divisor 186 and the new remainder 96, and apply the division lemma to get
186 = 96 x 1 + 90
We consider the new divisor 96 and the new remainder 90,and apply the division lemma to get
96 = 90 x 1 + 6
We consider the new divisor 90 and the new remainder 6,and apply the division lemma to get
90 = 6 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 750 and 282 is 6
Notice that 6 = HCF(90,6) = HCF(96,90) = HCF(186,96) = HCF(282,186) = HCF(750,282) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 807 > 6, we apply the division lemma to 807 and 6, to get
807 = 6 x 134 + 3
Step 2: Since the reminder 6 ≠ 0, we apply division lemma to 3 and 6, to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 6 and 807 is 3
Notice that 3 = HCF(6,3) = HCF(807,6) .
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 750, 282, 807?
Answer: HCF of 750, 282, 807 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 750, 282, 807 using Euclid's Algorithm?
Answer: For arbitrary numbers 750, 282, 807 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.