Highest Common Factor of 249, 392, 70 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 249, 392, 70 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 249, 392, 70 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 249, 392, 70 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 249, 392, 70 is 1.
HCF(249, 392, 70) = 1
HCF of 249, 392, 70 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 249, 392, 70 is 1.
Highest Common Factor of 249,392,70 is 1
Step 1: Since 392 > 249, we apply the division lemma to 392 and 249, to get
392 = 249 x 1 + 143
Step 2: Since the reminder 249 ≠ 0, we apply division lemma to 143 and 249, to get
249 = 143 x 1 + 106
Step 3: We consider the new divisor 143 and the new remainder 106, and apply the division lemma to get
143 = 106 x 1 + 37
We consider the new divisor 106 and the new remainder 37,and apply the division lemma to get
106 = 37 x 2 + 32
We consider the new divisor 37 and the new remainder 32,and apply the division lemma to get
37 = 32 x 1 + 5
We consider the new divisor 32 and the new remainder 5,and apply the division lemma to get
32 = 5 x 6 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 249 and 392 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(32,5) = HCF(37,32) = HCF(106,37) = HCF(143,106) = HCF(249,143) = HCF(392,249) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 70 > 1, we apply the division lemma to 70 and 1, to get
70 = 1 x 70 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 70 is 1
Notice that 1 = HCF(70,1) .
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Frequently Asked Questions on HCF of 249, 392, 70 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 249, 392, 70?
Answer: HCF of 249, 392, 70 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 249, 392, 70 using Euclid's Algorithm?
Answer: For arbitrary numbers 249, 392, 70 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
