Highest Common Factor of 2814, 7147, 64246 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 2814, 7147, 64246 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 2814, 7147, 64246 is 7 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 2814, 7147, 64246 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 2814, 7147, 64246 is 7.
HCF(2814, 7147, 64246) = 7
HCF of 2814, 7147, 64246 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2814, 7147, 64246 is 7.
Highest Common Factor of 2814,7147,64246 is 7
Step 1: Since 7147 > 2814, we apply the division lemma to 7147 and 2814, to get
7147 = 2814 x 2 + 1519
Step 2: Since the reminder 2814 ≠ 0, we apply division lemma to 1519 and 2814, to get
2814 = 1519 x 1 + 1295
Step 3: We consider the new divisor 1519 and the new remainder 1295, and apply the division lemma to get
1519 = 1295 x 1 + 224
We consider the new divisor 1295 and the new remainder 224,and apply the division lemma to get
1295 = 224 x 5 + 175
We consider the new divisor 224 and the new remainder 175,and apply the division lemma to get
224 = 175 x 1 + 49
We consider the new divisor 175 and the new remainder 49,and apply the division lemma to get
175 = 49 x 3 + 28
We consider the new divisor 49 and the new remainder 28,and apply the division lemma to get
49 = 28 x 1 + 21
We consider the new divisor 28 and the new remainder 21,and apply the division lemma to get
28 = 21 x 1 + 7
We consider the new divisor 21 and the new remainder 7,and apply the division lemma to get
21 = 7 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 2814 and 7147 is 7
Notice that 7 = HCF(21,7) = HCF(28,21) = HCF(49,28) = HCF(175,49) = HCF(224,175) = HCF(1295,224) = HCF(1519,1295) = HCF(2814,1519) = HCF(7147,2814) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 64246 > 7, we apply the division lemma to 64246 and 7, to get
64246 = 7 x 9178 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 7 and 64246 is 7
Notice that 7 = HCF(64246,7) .
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Frequently Asked Questions on HCF of 2814, 7147, 64246 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 2814, 7147, 64246?
Answer: HCF of 2814, 7147, 64246 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2814, 7147, 64246 using Euclid's Algorithm?
Answer: For arbitrary numbers 2814, 7147, 64246 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.