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 960, 77838 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 960, 77838 is 6 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 960, 77838 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 960, 77838 is 6.
HCF(960, 77838) = 6
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 960, 77838 is 6.
Step 1: Since 77838 > 960, we apply the division lemma to 77838 and 960, to get
77838 = 960 x 81 + 78
Step 2: Since the reminder 960 ≠ 0, we apply division lemma to 78 and 960, to get
960 = 78 x 12 + 24
Step 3: We consider the new divisor 78 and the new remainder 24, and apply the division lemma to get
78 = 24 x 3 + 6
We consider the new divisor 24 and the new remainder 6, and apply the division lemma to get
24 = 6 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 960 and 77838 is 6
Notice that 6 = HCF(24,6) = HCF(78,24) = HCF(960,78) = HCF(77838,960) .
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 960, 77838?
Answer: HCF of 960, 77838 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 960, 77838 using Euclid's Algorithm?
Answer: For arbitrary numbers 960, 77838 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.