Highest Common Factor of 7963, 950 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 7963, 950 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7963, 950 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 7963, 950 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 7963, 950 is 1.
HCF(7963, 950) = 1
HCF of 7963, 950 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7963, 950 is 1.
Highest Common Factor of 7963,950 is 1
Step 1: Since 7963 > 950, we apply the division lemma to 7963 and 950, to get
7963 = 950 x 8 + 363
Step 2: Since the reminder 950 ≠ 0, we apply division lemma to 363 and 950, to get
950 = 363 x 2 + 224
Step 3: We consider the new divisor 363 and the new remainder 224, and apply the division lemma to get
363 = 224 x 1 + 139
We consider the new divisor 224 and the new remainder 139,and apply the division lemma to get
224 = 139 x 1 + 85
We consider the new divisor 139 and the new remainder 85,and apply the division lemma to get
139 = 85 x 1 + 54
We consider the new divisor 85 and the new remainder 54,and apply the division lemma to get
85 = 54 x 1 + 31
We consider the new divisor 54 and the new remainder 31,and apply the division lemma to get
54 = 31 x 1 + 23
We consider the new divisor 31 and the new remainder 23,and apply the division lemma to get
31 = 23 x 1 + 8
We consider the new divisor 23 and the new remainder 8,and apply the division lemma to get
23 = 8 x 2 + 7
We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get
8 = 7 x 1 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7963 and 950 is 1
Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(23,8) = HCF(31,23) = HCF(54,31) = HCF(85,54) = HCF(139,85) = HCF(224,139) = HCF(363,224) = HCF(950,363) = HCF(7963,950) .
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Frequently Asked Questions on HCF of 7963, 950 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 7963, 950?
Answer: HCF of 7963, 950 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7963, 950 using Euclid's Algorithm?
Answer: For arbitrary numbers 7963, 950 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.