Highest Common Factor of 6262, 4600, 46124 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 6262, 4600, 46124 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 6262, 4600, 46124 is 2 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 6262, 4600, 46124 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 6262, 4600, 46124 is 2.
HCF(6262, 4600, 46124) = 2
HCF of 6262, 4600, 46124 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6262, 4600, 46124 is 2.
Highest Common Factor of 6262,4600,46124 is 2
Step 1: Since 6262 > 4600, we apply the division lemma to 6262 and 4600, to get
6262 = 4600 x 1 + 1662
Step 2: Since the reminder 4600 ≠ 0, we apply division lemma to 1662 and 4600, to get
4600 = 1662 x 2 + 1276
Step 3: We consider the new divisor 1662 and the new remainder 1276, and apply the division lemma to get
1662 = 1276 x 1 + 386
We consider the new divisor 1276 and the new remainder 386,and apply the division lemma to get
1276 = 386 x 3 + 118
We consider the new divisor 386 and the new remainder 118,and apply the division lemma to get
386 = 118 x 3 + 32
We consider the new divisor 118 and the new remainder 32,and apply the division lemma to get
118 = 32 x 3 + 22
We consider the new divisor 32 and the new remainder 22,and apply the division lemma to get
32 = 22 x 1 + 10
We consider the new divisor 22 and the new remainder 10,and apply the division lemma to get
22 = 10 x 2 + 2
We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get
10 = 2 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 6262 and 4600 is 2
Notice that 2 = HCF(10,2) = HCF(22,10) = HCF(32,22) = HCF(118,32) = HCF(386,118) = HCF(1276,386) = HCF(1662,1276) = HCF(4600,1662) = HCF(6262,4600) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 46124 > 2, we apply the division lemma to 46124 and 2, to get
46124 = 2 x 23062 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 46124 is 2
Notice that 2 = HCF(46124,2) .
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Frequently Asked Questions on HCF of 6262, 4600, 46124 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 6262, 4600, 46124?
Answer: HCF of 6262, 4600, 46124 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6262, 4600, 46124 using Euclid's Algorithm?
Answer: For arbitrary numbers 6262, 4600, 46124 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.