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 8916, 7376 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 8916, 7376 is 4 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 8916, 7376 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 8916, 7376 is 4.
HCF(8916, 7376) = 4
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8916, 7376 is 4.
Step 1: Since 8916 > 7376, we apply the division lemma to 8916 and 7376, to get
8916 = 7376 x 1 + 1540
Step 2: Since the reminder 7376 ≠ 0, we apply division lemma to 1540 and 7376, to get
7376 = 1540 x 4 + 1216
Step 3: We consider the new divisor 1540 and the new remainder 1216, and apply the division lemma to get
1540 = 1216 x 1 + 324
We consider the new divisor 1216 and the new remainder 324,and apply the division lemma to get
1216 = 324 x 3 + 244
We consider the new divisor 324 and the new remainder 244,and apply the division lemma to get
324 = 244 x 1 + 80
We consider the new divisor 244 and the new remainder 80,and apply the division lemma to get
244 = 80 x 3 + 4
We consider the new divisor 80 and the new remainder 4,and apply the division lemma to get
80 = 4 x 20 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 8916 and 7376 is 4
Notice that 4 = HCF(80,4) = HCF(244,80) = HCF(324,244) = HCF(1216,324) = HCF(1540,1216) = HCF(7376,1540) = HCF(8916,7376) .
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 8916, 7376?
Answer: HCF of 8916, 7376 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8916, 7376 using Euclid's Algorithm?
Answer: For arbitrary numbers 8916, 7376 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.