Highest Common Factor of 4046, 7763 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 4046, 7763 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 4046, 7763 is 7 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 4046, 7763 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 4046, 7763 is 7.
HCF(4046, 7763) = 7
HCF of 4046, 7763 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4046, 7763 is 7.
Highest Common Factor of 4046,7763 is 7
Step 1: Since 7763 > 4046, we apply the division lemma to 7763 and 4046, to get
7763 = 4046 x 1 + 3717
Step 2: Since the reminder 4046 ≠ 0, we apply division lemma to 3717 and 4046, to get
4046 = 3717 x 1 + 329
Step 3: We consider the new divisor 3717 and the new remainder 329, and apply the division lemma to get
3717 = 329 x 11 + 98
We consider the new divisor 329 and the new remainder 98,and apply the division lemma to get
329 = 98 x 3 + 35
We consider the new divisor 98 and the new remainder 35,and apply the division lemma to get
98 = 35 x 2 + 28
We consider the new divisor 35 and the new remainder 28,and apply the division lemma to get
35 = 28 x 1 + 7
We consider the new divisor 28 and the new remainder 7,and apply the division lemma to get
28 = 7 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 4046 and 7763 is 7
Notice that 7 = HCF(28,7) = HCF(35,28) = HCF(98,35) = HCF(329,98) = HCF(3717,329) = HCF(4046,3717) = HCF(7763,4046) .
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Frequently Asked Questions on HCF of 4046, 7763 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 4046, 7763?
Answer: HCF of 4046, 7763 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4046, 7763 using Euclid's Algorithm?
Answer: For arbitrary numbers 4046, 7763 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.