Highest Common Factor of 1347, 424 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 1347, 424 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1347, 424 is 1 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 1347, 424 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 1347, 424 is 1.
HCF(1347, 424) = 1
HCF of 1347, 424 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1347, 424 is 1.
Highest Common Factor of 1347,424 is 1
Step 1: Since 1347 > 424, we apply the division lemma to 1347 and 424, to get
1347 = 424 x 3 + 75
Step 2: Since the reminder 424 ≠ 0, we apply division lemma to 75 and 424, to get
424 = 75 x 5 + 49
Step 3: We consider the new divisor 75 and the new remainder 49, and apply the division lemma to get
75 = 49 x 1 + 26
We consider the new divisor 49 and the new remainder 26,and apply the division lemma to get
49 = 26 x 1 + 23
We consider the new divisor 26 and the new remainder 23,and apply the division lemma to get
26 = 23 x 1 + 3
We consider the new divisor 23 and the new remainder 3,and apply the division lemma to get
23 = 3 x 7 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1347 and 424 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(23,3) = HCF(26,23) = HCF(49,26) = HCF(75,49) = HCF(424,75) = HCF(1347,424) .
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Frequently Asked Questions on HCF of 1347, 424 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 1347, 424?
Answer: HCF of 1347, 424 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1347, 424 using Euclid's Algorithm?
Answer: For arbitrary numbers 1347, 424 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.