Highest Common Factor of 3157, 5950, 99794 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 3157, 5950, 99794 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3157, 5950, 99794 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 3157, 5950, 99794 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 3157, 5950, 99794 is 1.
HCF(3157, 5950, 99794) = 1
HCF of 3157, 5950, 99794 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3157, 5950, 99794 is 1.
Highest Common Factor of 3157,5950,99794 is 1
Step 1: Since 5950 > 3157, we apply the division lemma to 5950 and 3157, to get
5950 = 3157 x 1 + 2793
Step 2: Since the reminder 3157 ≠ 0, we apply division lemma to 2793 and 3157, to get
3157 = 2793 x 1 + 364
Step 3: We consider the new divisor 2793 and the new remainder 364, and apply the division lemma to get
2793 = 364 x 7 + 245
We consider the new divisor 364 and the new remainder 245,and apply the division lemma to get
364 = 245 x 1 + 119
We consider the new divisor 245 and the new remainder 119,and apply the division lemma to get
245 = 119 x 2 + 7
We consider the new divisor 119 and the new remainder 7,and apply the division lemma to get
119 = 7 x 17 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 3157 and 5950 is 7
Notice that 7 = HCF(119,7) = HCF(245,119) = HCF(364,245) = HCF(2793,364) = HCF(3157,2793) = HCF(5950,3157) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 99794 > 7, we apply the division lemma to 99794 and 7, to get
99794 = 7 x 14256 + 2
Step 2: Since the reminder 7 ≠ 0, we apply division lemma to 2 and 7, to get
7 = 2 x 3 + 1
Step 3: 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 7 and 99794 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(99794,7) .
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Frequently Asked Questions on HCF of 3157, 5950, 99794 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 3157, 5950, 99794?
Answer: HCF of 3157, 5950, 99794 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3157, 5950, 99794 using Euclid's Algorithm?
Answer: For arbitrary numbers 3157, 5950, 99794 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.