Highest Common Factor of 3916, 8008 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 3916, 8008 i.e. 44 the largest integer that leaves a remainder zero for all numbers.
HCF of 3916, 8008 is 44 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 3916, 8008 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 3916, 8008 is 44.
HCF(3916, 8008) = 44
HCF of 3916, 8008 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3916, 8008 is 44.
Highest Common Factor of 3916,8008 is 44
Step 1: Since 8008 > 3916, we apply the division lemma to 8008 and 3916, to get
8008 = 3916 x 2 + 176
Step 2: Since the reminder 3916 ≠ 0, we apply division lemma to 176 and 3916, to get
3916 = 176 x 22 + 44
Step 3: We consider the new divisor 176 and the new remainder 44, and apply the division lemma to get
176 = 44 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 44, the HCF of 3916 and 8008 is 44
Notice that 44 = HCF(176,44) = HCF(3916,176) = HCF(8008,3916) .
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Frequently Asked Questions on HCF of 3916, 8008 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 3916, 8008?
Answer: HCF of 3916, 8008 is 44 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3916, 8008 using Euclid's Algorithm?
Answer: For arbitrary numbers 3916, 8008 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.