Highest Common Factor of 4955, 3194 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 4955, 3194 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4955, 3194 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 4955, 3194 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 4955, 3194 is 1.
HCF(4955, 3194) = 1
HCF of 4955, 3194 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4955, 3194 is 1.
Highest Common Factor of 4955,3194 is 1
Step 1: Since 4955 > 3194, we apply the division lemma to 4955 and 3194, to get
4955 = 3194 x 1 + 1761
Step 2: Since the reminder 3194 ≠ 0, we apply division lemma to 1761 and 3194, to get
3194 = 1761 x 1 + 1433
Step 3: We consider the new divisor 1761 and the new remainder 1433, and apply the division lemma to get
1761 = 1433 x 1 + 328
We consider the new divisor 1433 and the new remainder 328,and apply the division lemma to get
1433 = 328 x 4 + 121
We consider the new divisor 328 and the new remainder 121,and apply the division lemma to get
328 = 121 x 2 + 86
We consider the new divisor 121 and the new remainder 86,and apply the division lemma to get
121 = 86 x 1 + 35
We consider the new divisor 86 and the new remainder 35,and apply the division lemma to get
86 = 35 x 2 + 16
We consider the new divisor 35 and the new remainder 16,and apply the division lemma to get
35 = 16 x 2 + 3
We consider the new divisor 16 and the new remainder 3,and apply the division lemma to get
16 = 3 x 5 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4955 and 3194 is 1
Notice that 1 = HCF(3,1) = HCF(16,3) = HCF(35,16) = HCF(86,35) = HCF(121,86) = HCF(328,121) = HCF(1433,328) = HCF(1761,1433) = HCF(3194,1761) = HCF(4955,3194) .
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Frequently Asked Questions on HCF of 4955, 3194 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 4955, 3194?
Answer: HCF of 4955, 3194 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4955, 3194 using Euclid's Algorithm?
Answer: For arbitrary numbers 4955, 3194 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.