Highest Common Factor of 4278, 7112 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 4278, 7112 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4278, 7112 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 4278, 7112 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 4278, 7112 is 2.
HCF(4278, 7112) = 2
HCF of 4278, 7112 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4278, 7112 is 2.
Highest Common Factor of 4278,7112 is 2
Step 1: Since 7112 > 4278, we apply the division lemma to 7112 and 4278, to get
7112 = 4278 x 1 + 2834
Step 2: Since the reminder 4278 ≠ 0, we apply division lemma to 2834 and 4278, to get
4278 = 2834 x 1 + 1444
Step 3: We consider the new divisor 2834 and the new remainder 1444, and apply the division lemma to get
2834 = 1444 x 1 + 1390
We consider the new divisor 1444 and the new remainder 1390,and apply the division lemma to get
1444 = 1390 x 1 + 54
We consider the new divisor 1390 and the new remainder 54,and apply the division lemma to get
1390 = 54 x 25 + 40
We consider the new divisor 54 and the new remainder 40,and apply the division lemma to get
54 = 40 x 1 + 14
We consider the new divisor 40 and the new remainder 14,and apply the division lemma to get
40 = 14 x 2 + 12
We consider the new divisor 14 and the new remainder 12,and apply the division lemma to get
14 = 12 x 1 + 2
We consider the new divisor 12 and the new remainder 2,and apply the division lemma to get
12 = 2 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4278 and 7112 is 2
Notice that 2 = HCF(12,2) = HCF(14,12) = HCF(40,14) = HCF(54,40) = HCF(1390,54) = HCF(1444,1390) = HCF(2834,1444) = HCF(4278,2834) = HCF(7112,4278) .
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Frequently Asked Questions on HCF of 4278, 7112 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 4278, 7112?
Answer: HCF of 4278, 7112 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4278, 7112 using Euclid's Algorithm?
Answer: For arbitrary numbers 4278, 7112 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
