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 755, 8030 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 755, 8030 is 5 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 755, 8030 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 755, 8030 is 5.
HCF(755, 8030) = 5
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 755, 8030 is 5.
Step 1: Since 8030 > 755, we apply the division lemma to 8030 and 755, to get
8030 = 755 x 10 + 480
Step 2: Since the reminder 755 ≠ 0, we apply division lemma to 480 and 755, to get
755 = 480 x 1 + 275
Step 3: We consider the new divisor 480 and the new remainder 275, and apply the division lemma to get
480 = 275 x 1 + 205
We consider the new divisor 275 and the new remainder 205,and apply the division lemma to get
275 = 205 x 1 + 70
We consider the new divisor 205 and the new remainder 70,and apply the division lemma to get
205 = 70 x 2 + 65
We consider the new divisor 70 and the new remainder 65,and apply the division lemma to get
70 = 65 x 1 + 5
We consider the new divisor 65 and the new remainder 5,and apply the division lemma to get
65 = 5 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 755 and 8030 is 5
Notice that 5 = HCF(65,5) = HCF(70,65) = HCF(205,70) = HCF(275,205) = HCF(480,275) = HCF(755,480) = HCF(8030,755) .
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 755, 8030?
Answer: HCF of 755, 8030 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 755, 8030 using Euclid's Algorithm?
Answer: For arbitrary numbers 755, 8030 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.