Highest Common Factor of 3376, 8472 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 3376, 8472 i.e. 8 the largest integer that leaves a remainder zero for all numbers.
HCF of 3376, 8472 is 8 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 3376, 8472 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 3376, 8472 is 8.
HCF(3376, 8472) = 8
HCF of 3376, 8472 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3376, 8472 is 8.
Highest Common Factor of 3376,8472 is 8
Step 1: Since 8472 > 3376, we apply the division lemma to 8472 and 3376, to get
8472 = 3376 x 2 + 1720
Step 2: Since the reminder 3376 ≠ 0, we apply division lemma to 1720 and 3376, to get
3376 = 1720 x 1 + 1656
Step 3: We consider the new divisor 1720 and the new remainder 1656, and apply the division lemma to get
1720 = 1656 x 1 + 64
We consider the new divisor 1656 and the new remainder 64,and apply the division lemma to get
1656 = 64 x 25 + 56
We consider the new divisor 64 and the new remainder 56,and apply the division lemma to get
64 = 56 x 1 + 8
We consider the new divisor 56 and the new remainder 8,and apply the division lemma to get
56 = 8 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 3376 and 8472 is 8
Notice that 8 = HCF(56,8) = HCF(64,56) = HCF(1656,64) = HCF(1720,1656) = HCF(3376,1720) = HCF(8472,3376) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 3376, 8472 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 3376, 8472?
Answer: HCF of 3376, 8472 is 8 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3376, 8472 using Euclid's Algorithm?
Answer: For arbitrary numbers 3376, 8472 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.