Highest Common Factor of 7800, 8034 using Euclid's algorithm
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 7800, 8034 i.e. 78 the largest integer that leaves a remainder zero for all numbers.
HCF of 7800, 8034 is 78 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 7800, 8034 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 7800, 8034 is 78.
HCF(7800, 8034) = 78
HCF of 7800, 8034 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7800, 8034 is 78.
Highest Common Factor of 7800,8034 is 78
Step 1: Since 8034 > 7800, we apply the division lemma to 8034 and 7800, to get
8034 = 7800 x 1 + 234
Step 2: Since the reminder 7800 ≠ 0, we apply division lemma to 234 and 7800, to get
7800 = 234 x 33 + 78
Step 3: We consider the new divisor 234 and the new remainder 78, and apply the division lemma to get
234 = 78 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 78, the HCF of 7800 and 8034 is 78
Notice that 78 = HCF(234,78) = HCF(7800,234) = HCF(8034,7800) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 7800, 8034 using Euclid's Algorithm
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 7800, 8034?
Answer: HCF of 7800, 8034 is 78 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7800, 8034 using Euclid's Algorithm?
Answer: For arbitrary numbers 7800, 8034 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.