Highest Common Factor of 7954, 8655 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 7954, 8655 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7954, 8655 is 1 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 7954, 8655 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 7954, 8655 is 1.
HCF(7954, 8655) = 1
HCF of 7954, 8655 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7954, 8655 is 1.
Highest Common Factor of 7954,8655 is 1
Step 1: Since 8655 > 7954, we apply the division lemma to 8655 and 7954, to get
8655 = 7954 x 1 + 701
Step 2: Since the reminder 7954 ≠ 0, we apply division lemma to 701 and 7954, to get
7954 = 701 x 11 + 243
Step 3: We consider the new divisor 701 and the new remainder 243, and apply the division lemma to get
701 = 243 x 2 + 215
We consider the new divisor 243 and the new remainder 215,and apply the division lemma to get
243 = 215 x 1 + 28
We consider the new divisor 215 and the new remainder 28,and apply the division lemma to get
215 = 28 x 7 + 19
We consider the new divisor 28 and the new remainder 19,and apply the division lemma to get
28 = 19 x 1 + 9
We consider the new divisor 19 and the new remainder 9,and apply the division lemma to get
19 = 9 x 2 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7954 and 8655 is 1
Notice that 1 = HCF(9,1) = HCF(19,9) = HCF(28,19) = HCF(215,28) = HCF(243,215) = HCF(701,243) = HCF(7954,701) = HCF(8655,7954) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 7954, 8655 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 7954, 8655?
Answer: HCF of 7954, 8655 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7954, 8655 using Euclid's Algorithm?
Answer: For arbitrary numbers 7954, 8655 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
