Highest Common Factor of 1768, 3312 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 1768, 3312 i.e. 8 the largest integer that leaves a remainder zero for all numbers.
HCF of 1768, 3312 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 1768, 3312 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 1768, 3312 is 8.
HCF(1768, 3312) = 8
HCF of 1768, 3312 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1768, 3312 is 8.
Highest Common Factor of 1768,3312 is 8
Step 1: Since 3312 > 1768, we apply the division lemma to 3312 and 1768, to get
3312 = 1768 x 1 + 1544
Step 2: Since the reminder 1768 ≠ 0, we apply division lemma to 1544 and 1768, to get
1768 = 1544 x 1 + 224
Step 3: We consider the new divisor 1544 and the new remainder 224, and apply the division lemma to get
1544 = 224 x 6 + 200
We consider the new divisor 224 and the new remainder 200,and apply the division lemma to get
224 = 200 x 1 + 24
We consider the new divisor 200 and the new remainder 24,and apply the division lemma to get
200 = 24 x 8 + 8
We consider the new divisor 24 and the new remainder 8,and apply the division lemma to get
24 = 8 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 1768 and 3312 is 8
Notice that 8 = HCF(24,8) = HCF(200,24) = HCF(224,200) = HCF(1544,224) = HCF(1768,1544) = HCF(3312,1768) .
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Frequently Asked Questions on HCF of 1768, 3312 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 1768, 3312?
Answer: HCF of 1768, 3312 is 8 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1768, 3312 using Euclid's Algorithm?
Answer: For arbitrary numbers 1768, 3312 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.