Highest Common Factor of 4963, 7625 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 4963, 7625 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4963, 7625 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 4963, 7625 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 4963, 7625 is 1.
HCF(4963, 7625) = 1
HCF of 4963, 7625 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4963, 7625 is 1.
Highest Common Factor of 4963,7625 is 1
Step 1: Since 7625 > 4963, we apply the division lemma to 7625 and 4963, to get
7625 = 4963 x 1 + 2662
Step 2: Since the reminder 4963 ≠ 0, we apply division lemma to 2662 and 4963, to get
4963 = 2662 x 1 + 2301
Step 3: We consider the new divisor 2662 and the new remainder 2301, and apply the division lemma to get
2662 = 2301 x 1 + 361
We consider the new divisor 2301 and the new remainder 361,and apply the division lemma to get
2301 = 361 x 6 + 135
We consider the new divisor 361 and the new remainder 135,and apply the division lemma to get
361 = 135 x 2 + 91
We consider the new divisor 135 and the new remainder 91,and apply the division lemma to get
135 = 91 x 1 + 44
We consider the new divisor 91 and the new remainder 44,and apply the division lemma to get
91 = 44 x 2 + 3
We consider the new divisor 44 and the new remainder 3,and apply the division lemma to get
44 = 3 x 14 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4963 and 7625 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(44,3) = HCF(91,44) = HCF(135,91) = HCF(361,135) = HCF(2301,361) = HCF(2662,2301) = HCF(4963,2662) = HCF(7625,4963) .
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Frequently Asked Questions on HCF of 4963, 7625 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 4963, 7625?
Answer: HCF of 4963, 7625 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4963, 7625 using Euclid's Algorithm?
Answer: For arbitrary numbers 4963, 7625 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.