Highest Common Factor of 8944, 7116 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 8944, 7116 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 8944, 7116 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 8944, 7116 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 8944, 7116 is 4.
HCF(8944, 7116) = 4
HCF of 8944, 7116 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8944, 7116 is 4.
Highest Common Factor of 8944,7116 is 4
Step 1: Since 8944 > 7116, we apply the division lemma to 8944 and 7116, to get
8944 = 7116 x 1 + 1828
Step 2: Since the reminder 7116 ≠ 0, we apply division lemma to 1828 and 7116, to get
7116 = 1828 x 3 + 1632
Step 3: We consider the new divisor 1828 and the new remainder 1632, and apply the division lemma to get
1828 = 1632 x 1 + 196
We consider the new divisor 1632 and the new remainder 196,and apply the division lemma to get
1632 = 196 x 8 + 64
We consider the new divisor 196 and the new remainder 64,and apply the division lemma to get
196 = 64 x 3 + 4
We consider the new divisor 64 and the new remainder 4,and apply the division lemma to get
64 = 4 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 8944 and 7116 is 4
Notice that 4 = HCF(64,4) = HCF(196,64) = HCF(1632,196) = HCF(1828,1632) = HCF(7116,1828) = HCF(8944,7116) .
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Frequently Asked Questions on HCF of 8944, 7116 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 8944, 7116?
Answer: HCF of 8944, 7116 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8944, 7116 using Euclid's Algorithm?
Answer: For arbitrary numbers 8944, 7116 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.