Highest Common Factor of 780, 6652 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 780, 6652 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 780, 6652 is 4 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 780, 6652 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 780, 6652 is 4.
HCF(780, 6652) = 4
HCF of 780, 6652 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 780, 6652 is 4.
Highest Common Factor of 780,6652 is 4
Step 1: Since 6652 > 780, we apply the division lemma to 6652 and 780, to get
6652 = 780 x 8 + 412
Step 2: Since the reminder 780 ≠ 0, we apply division lemma to 412 and 780, to get
780 = 412 x 1 + 368
Step 3: We consider the new divisor 412 and the new remainder 368, and apply the division lemma to get
412 = 368 x 1 + 44
We consider the new divisor 368 and the new remainder 44,and apply the division lemma to get
368 = 44 x 8 + 16
We consider the new divisor 44 and the new remainder 16,and apply the division lemma to get
44 = 16 x 2 + 12
We consider the new divisor 16 and the new remainder 12,and apply the division lemma to get
16 = 12 x 1 + 4
We consider the new divisor 12 and the new remainder 4,and apply the division lemma to get
12 = 4 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 780 and 6652 is 4
Notice that 4 = HCF(12,4) = HCF(16,12) = HCF(44,16) = HCF(368,44) = HCF(412,368) = HCF(780,412) = HCF(6652,780) .
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Frequently Asked Questions on HCF of 780, 6652 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 780, 6652?
Answer: HCF of 780, 6652 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 780, 6652 using Euclid's Algorithm?
Answer: For arbitrary numbers 780, 6652 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.