Highest Common Factor of 7896, 4430, 68472 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 7896, 4430, 68472 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 7896, 4430, 68472 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 7896, 4430, 68472 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 7896, 4430, 68472 is 2.
HCF(7896, 4430, 68472) = 2
HCF of 7896, 4430, 68472 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7896, 4430, 68472 is 2.
Highest Common Factor of 7896,4430,68472 is 2
Step 1: Since 7896 > 4430, we apply the division lemma to 7896 and 4430, to get
7896 = 4430 x 1 + 3466
Step 2: Since the reminder 4430 ≠ 0, we apply division lemma to 3466 and 4430, to get
4430 = 3466 x 1 + 964
Step 3: We consider the new divisor 3466 and the new remainder 964, and apply the division lemma to get
3466 = 964 x 3 + 574
We consider the new divisor 964 and the new remainder 574,and apply the division lemma to get
964 = 574 x 1 + 390
We consider the new divisor 574 and the new remainder 390,and apply the division lemma to get
574 = 390 x 1 + 184
We consider the new divisor 390 and the new remainder 184,and apply the division lemma to get
390 = 184 x 2 + 22
We consider the new divisor 184 and the new remainder 22,and apply the division lemma to get
184 = 22 x 8 + 8
We consider the new divisor 22 and the new remainder 8,and apply the division lemma to get
22 = 8 x 2 + 6
We consider the new divisor 8 and the new remainder 6,and apply the division lemma to get
8 = 6 x 1 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 7896 and 4430 is 2
Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(22,8) = HCF(184,22) = HCF(390,184) = HCF(574,390) = HCF(964,574) = HCF(3466,964) = HCF(4430,3466) = HCF(7896,4430) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 68472 > 2, we apply the division lemma to 68472 and 2, to get
68472 = 2 x 34236 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 68472 is 2
Notice that 2 = HCF(68472,2) .
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Frequently Asked Questions on HCF of 7896, 4430, 68472 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 7896, 4430, 68472?
Answer: HCF of 7896, 4430, 68472 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7896, 4430, 68472 using Euclid's Algorithm?
Answer: For arbitrary numbers 7896, 4430, 68472 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.