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 783, 481, 768 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 783, 481, 768 is 1 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 783, 481, 768 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 783, 481, 768 is 1.
HCF(783, 481, 768) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 783, 481, 768 is 1.
Step 1: Since 783 > 481, we apply the division lemma to 783 and 481, to get
783 = 481 x 1 + 302
Step 2: Since the reminder 481 ≠ 0, we apply division lemma to 302 and 481, to get
481 = 302 x 1 + 179
Step 3: We consider the new divisor 302 and the new remainder 179, and apply the division lemma to get
302 = 179 x 1 + 123
We consider the new divisor 179 and the new remainder 123,and apply the division lemma to get
179 = 123 x 1 + 56
We consider the new divisor 123 and the new remainder 56,and apply the division lemma to get
123 = 56 x 2 + 11
We consider the new divisor 56 and the new remainder 11,and apply the division lemma to get
56 = 11 x 5 + 1
We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 783 and 481 is 1
Notice that 1 = HCF(11,1) = HCF(56,11) = HCF(123,56) = HCF(179,123) = HCF(302,179) = HCF(481,302) = HCF(783,481) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 768 > 1, we apply the division lemma to 768 and 1, to get
768 = 1 x 768 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 768 is 1
Notice that 1 = HCF(768,1) .
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 783, 481, 768?
Answer: HCF of 783, 481, 768 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 783, 481, 768 using Euclid's Algorithm?
Answer: For arbitrary numbers 783, 481, 768 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.