Highest Common Factor of 70, 113, 245 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 70, 113, 245 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 70, 113, 245 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 70, 113, 245 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 70, 113, 245 is 1.
HCF(70, 113, 245) = 1
HCF of 70, 113, 245 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 70, 113, 245 is 1.
Highest Common Factor of 70,113,245 is 1
Step 1: Since 113 > 70, we apply the division lemma to 113 and 70, to get
113 = 70 x 1 + 43
Step 2: Since the reminder 70 ≠ 0, we apply division lemma to 43 and 70, to get
70 = 43 x 1 + 27
Step 3: We consider the new divisor 43 and the new remainder 27, and apply the division lemma to get
43 = 27 x 1 + 16
We consider the new divisor 27 and the new remainder 16,and apply the division lemma to get
27 = 16 x 1 + 11
We consider the new divisor 16 and the new remainder 11,and apply the division lemma to get
16 = 11 x 1 + 5
We consider the new divisor 11 and the new remainder 5,and apply the division lemma to get
11 = 5 x 2 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 70 and 113 is 1
Notice that 1 = HCF(5,1) = HCF(11,5) = HCF(16,11) = HCF(27,16) = HCF(43,27) = HCF(70,43) = HCF(113,70) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 245 > 1, we apply the division lemma to 245 and 1, to get
245 = 1 x 245 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 245 is 1
Notice that 1 = HCF(245,1) .
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Frequently Asked Questions on HCF of 70, 113, 245 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 70, 113, 245?
Answer: HCF of 70, 113, 245 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 70, 113, 245 using Euclid's Algorithm?
Answer: For arbitrary numbers 70, 113, 245 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.