Highest Common Factor of 5194, 9149, 91212 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 5194, 9149, 91212 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5194, 9149, 91212 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 5194, 9149, 91212 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 5194, 9149, 91212 is 1.
HCF(5194, 9149, 91212) = 1
HCF of 5194, 9149, 91212 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5194, 9149, 91212 is 1.
Highest Common Factor of 5194,9149,91212 is 1
Step 1: Since 9149 > 5194, we apply the division lemma to 9149 and 5194, to get
9149 = 5194 x 1 + 3955
Step 2: Since the reminder 5194 ≠ 0, we apply division lemma to 3955 and 5194, to get
5194 = 3955 x 1 + 1239
Step 3: We consider the new divisor 3955 and the new remainder 1239, and apply the division lemma to get
3955 = 1239 x 3 + 238
We consider the new divisor 1239 and the new remainder 238,and apply the division lemma to get
1239 = 238 x 5 + 49
We consider the new divisor 238 and the new remainder 49,and apply the division lemma to get
238 = 49 x 4 + 42
We consider the new divisor 49 and the new remainder 42,and apply the division lemma to get
49 = 42 x 1 + 7
We consider the new divisor 42 and the new remainder 7,and apply the division lemma to get
42 = 7 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 5194 and 9149 is 7
Notice that 7 = HCF(42,7) = HCF(49,42) = HCF(238,49) = HCF(1239,238) = HCF(3955,1239) = HCF(5194,3955) = HCF(9149,5194) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 91212 > 7, we apply the division lemma to 91212 and 7, to get
91212 = 7 x 13030 + 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 91212 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(91212,7) .
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Frequently Asked Questions on HCF of 5194, 9149, 91212 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 5194, 9149, 91212?
Answer: HCF of 5194, 9149, 91212 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5194, 9149, 91212 using Euclid's Algorithm?
Answer: For arbitrary numbers 5194, 9149, 91212 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.