Highest Common Factor of 1373, 3156 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 1373, 3156 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1373, 3156 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 1373, 3156 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 1373, 3156 is 1.
HCF(1373, 3156) = 1
HCF of 1373, 3156 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1373, 3156 is 1.
Highest Common Factor of 1373,3156 is 1
Step 1: Since 3156 > 1373, we apply the division lemma to 3156 and 1373, to get
3156 = 1373 x 2 + 410
Step 2: Since the reminder 1373 ≠ 0, we apply division lemma to 410 and 1373, to get
1373 = 410 x 3 + 143
Step 3: We consider the new divisor 410 and the new remainder 143, and apply the division lemma to get
410 = 143 x 2 + 124
We consider the new divisor 143 and the new remainder 124,and apply the division lemma to get
143 = 124 x 1 + 19
We consider the new divisor 124 and the new remainder 19,and apply the division lemma to get
124 = 19 x 6 + 10
We consider the new divisor 19 and the new remainder 10,and apply the division lemma to get
19 = 10 x 1 + 9
We consider the new divisor 10 and the new remainder 9,and apply the division lemma to get
10 = 9 x 1 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1373 and 3156 is 1
Notice that 1 = HCF(9,1) = HCF(10,9) = HCF(19,10) = HCF(124,19) = HCF(143,124) = HCF(410,143) = HCF(1373,410) = HCF(3156,1373) .
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Frequently Asked Questions on HCF of 1373, 3156 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 1373, 3156?
Answer: HCF of 1373, 3156 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1373, 3156 using Euclid's Algorithm?
Answer: For arbitrary numbers 1373, 3156 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.