Highest Common Factor of 1412, 7798 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 1412, 7798 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 1412, 7798 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 1412, 7798 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 1412, 7798 is 2.
HCF(1412, 7798) = 2
HCF of 1412, 7798 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1412, 7798 is 2.
Highest Common Factor of 1412,7798 is 2
Step 1: Since 7798 > 1412, we apply the division lemma to 7798 and 1412, to get
7798 = 1412 x 5 + 738
Step 2: Since the reminder 1412 ≠ 0, we apply division lemma to 738 and 1412, to get
1412 = 738 x 1 + 674
Step 3: We consider the new divisor 738 and the new remainder 674, and apply the division lemma to get
738 = 674 x 1 + 64
We consider the new divisor 674 and the new remainder 64,and apply the division lemma to get
674 = 64 x 10 + 34
We consider the new divisor 64 and the new remainder 34,and apply the division lemma to get
64 = 34 x 1 + 30
We consider the new divisor 34 and the new remainder 30,and apply the division lemma to get
34 = 30 x 1 + 4
We consider the new divisor 30 and the new remainder 4,and apply the division lemma to get
30 = 4 x 7 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 1412 and 7798 is 2
Notice that 2 = HCF(4,2) = HCF(30,4) = HCF(34,30) = HCF(64,34) = HCF(674,64) = HCF(738,674) = HCF(1412,738) = HCF(7798,1412) .
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Frequently Asked Questions on HCF of 1412, 7798 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 1412, 7798?
Answer: HCF of 1412, 7798 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1412, 7798 using Euclid's Algorithm?
Answer: For arbitrary numbers 1412, 7798 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.