Highest Common Factor of 241, 142, 648 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 241, 142, 648 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 241, 142, 648 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 241, 142, 648 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 241, 142, 648 is 1.
HCF(241, 142, 648) = 1
HCF of 241, 142, 648 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 241, 142, 648 is 1.
Highest Common Factor of 241,142,648 is 1
Step 1: Since 241 > 142, we apply the division lemma to 241 and 142, to get
241 = 142 x 1 + 99
Step 2: Since the reminder 142 ≠ 0, we apply division lemma to 99 and 142, to get
142 = 99 x 1 + 43
Step 3: We consider the new divisor 99 and the new remainder 43, and apply the division lemma to get
99 = 43 x 2 + 13
We consider the new divisor 43 and the new remainder 13,and apply the division lemma to get
43 = 13 x 3 + 4
We consider the new divisor 13 and the new remainder 4,and apply the division lemma to get
13 = 4 x 3 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 241 and 142 is 1
Notice that 1 = HCF(4,1) = HCF(13,4) = HCF(43,13) = HCF(99,43) = HCF(142,99) = HCF(241,142) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 648 > 1, we apply the division lemma to 648 and 1, to get
648 = 1 x 648 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 648 is 1
Notice that 1 = HCF(648,1) .
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Frequently Asked Questions on HCF of 241, 142, 648 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 241, 142, 648?
Answer: HCF of 241, 142, 648 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 241, 142, 648 using Euclid's Algorithm?
Answer: For arbitrary numbers 241, 142, 648 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.