Highest Common Factor of 7894, 6506 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 7894, 6506 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 7894, 6506 is 2 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 7894, 6506 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 7894, 6506 is 2.
HCF(7894, 6506) = 2
HCF of 7894, 6506 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7894, 6506 is 2.
Highest Common Factor of 7894,6506 is 2
Step 1: Since 7894 > 6506, we apply the division lemma to 7894 and 6506, to get
7894 = 6506 x 1 + 1388
Step 2: Since the reminder 6506 ≠ 0, we apply division lemma to 1388 and 6506, to get
6506 = 1388 x 4 + 954
Step 3: We consider the new divisor 1388 and the new remainder 954, and apply the division lemma to get
1388 = 954 x 1 + 434
We consider the new divisor 954 and the new remainder 434,and apply the division lemma to get
954 = 434 x 2 + 86
We consider the new divisor 434 and the new remainder 86,and apply the division lemma to get
434 = 86 x 5 + 4
We consider the new divisor 86 and the new remainder 4,and apply the division lemma to get
86 = 4 x 21 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 7894 and 6506 is 2
Notice that 2 = HCF(4,2) = HCF(86,4) = HCF(434,86) = HCF(954,434) = HCF(1388,954) = HCF(6506,1388) = HCF(7894,6506) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 7894, 6506 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 7894, 6506?
Answer: HCF of 7894, 6506 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7894, 6506 using Euclid's Algorithm?
Answer: For arbitrary numbers 7894, 6506 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.