Highest Common Factor of 2964, 6764 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 2964, 6764 i.e. 76 the largest integer that leaves a remainder zero for all numbers.
HCF of 2964, 6764 is 76 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 2964, 6764 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 2964, 6764 is 76.
HCF(2964, 6764) = 76
HCF of 2964, 6764 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2964, 6764 is 76.
Highest Common Factor of 2964,6764 is 76
Step 1: Since 6764 > 2964, we apply the division lemma to 6764 and 2964, to get
6764 = 2964 x 2 + 836
Step 2: Since the reminder 2964 ≠ 0, we apply division lemma to 836 and 2964, to get
2964 = 836 x 3 + 456
Step 3: We consider the new divisor 836 and the new remainder 456, and apply the division lemma to get
836 = 456 x 1 + 380
We consider the new divisor 456 and the new remainder 380,and apply the division lemma to get
456 = 380 x 1 + 76
We consider the new divisor 380 and the new remainder 76,and apply the division lemma to get
380 = 76 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 76, the HCF of 2964 and 6764 is 76
Notice that 76 = HCF(380,76) = HCF(456,380) = HCF(836,456) = HCF(2964,836) = HCF(6764,2964) .
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Frequently Asked Questions on HCF of 2964, 6764 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 2964, 6764?
Answer: HCF of 2964, 6764 is 76 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2964, 6764 using Euclid's Algorithm?
Answer: For arbitrary numbers 2964, 6764 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
