Highest Common Factor of 777, 966, 335 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 777, 966, 335 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 777, 966, 335 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 777, 966, 335 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 777, 966, 335 is 1.
HCF(777, 966, 335) = 1
HCF of 777, 966, 335 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 777, 966, 335 is 1.
Highest Common Factor of 777,966,335 is 1
Step 1: Since 966 > 777, we apply the division lemma to 966 and 777, to get
966 = 777 x 1 + 189
Step 2: Since the reminder 777 ≠ 0, we apply division lemma to 189 and 777, to get
777 = 189 x 4 + 21
Step 3: We consider the new divisor 189 and the new remainder 21, and apply the division lemma to get
189 = 21 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 21, the HCF of 777 and 966 is 21
Notice that 21 = HCF(189,21) = HCF(777,189) = HCF(966,777) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 335 > 21, we apply the division lemma to 335 and 21, to get
335 = 21 x 15 + 20
Step 2: Since the reminder 21 ≠ 0, we apply division lemma to 20 and 21, to get
21 = 20 x 1 + 1
Step 3: We consider the new divisor 20 and the new remainder 1, and apply the division lemma to get
20 = 1 x 20 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 21 and 335 is 1
Notice that 1 = HCF(20,1) = HCF(21,20) = HCF(335,21) .
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Frequently Asked Questions on HCF of 777, 966, 335 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 777, 966, 335?
Answer: HCF of 777, 966, 335 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 777, 966, 335 using Euclid's Algorithm?
Answer: For arbitrary numbers 777, 966, 335 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.