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 7184, 8918 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 7184, 8918 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 7184, 8918 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 7184, 8918 is 2.
HCF(7184, 8918) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7184, 8918 is 2.
Step 1: Since 8918 > 7184, we apply the division lemma to 8918 and 7184, to get
8918 = 7184 x 1 + 1734
Step 2: Since the reminder 7184 ≠ 0, we apply division lemma to 1734 and 7184, to get
7184 = 1734 x 4 + 248
Step 3: We consider the new divisor 1734 and the new remainder 248, and apply the division lemma to get
1734 = 248 x 6 + 246
We consider the new divisor 248 and the new remainder 246,and apply the division lemma to get
248 = 246 x 1 + 2
We consider the new divisor 246 and the new remainder 2,and apply the division lemma to get
246 = 2 x 123 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 7184 and 8918 is 2
Notice that 2 = HCF(246,2) = HCF(248,246) = HCF(1734,248) = HCF(7184,1734) = HCF(8918,7184) .
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 7184, 8918?
Answer: HCF of 7184, 8918 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7184, 8918 using Euclid's Algorithm?
Answer: For arbitrary numbers 7184, 8918 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.