Highest Common Factor of 371, 614, 846, 640 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 371, 614, 846, 640 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 371, 614, 846, 640 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 371, 614, 846, 640 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 371, 614, 846, 640 is 1.
HCF(371, 614, 846, 640) = 1
HCF of 371, 614, 846, 640 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 371, 614, 846, 640 is 1.
Highest Common Factor of 371,614,846,640 is 1
Step 1: Since 614 > 371, we apply the division lemma to 614 and 371, to get
614 = 371 x 1 + 243
Step 2: Since the reminder 371 ≠ 0, we apply division lemma to 243 and 371, to get
371 = 243 x 1 + 128
Step 3: We consider the new divisor 243 and the new remainder 128, and apply the division lemma to get
243 = 128 x 1 + 115
We consider the new divisor 128 and the new remainder 115,and apply the division lemma to get
128 = 115 x 1 + 13
We consider the new divisor 115 and the new remainder 13,and apply the division lemma to get
115 = 13 x 8 + 11
We consider the new divisor 13 and the new remainder 11,and apply the division lemma to get
13 = 11 x 1 + 2
We consider the new divisor 11 and the new remainder 2,and apply the division lemma to get
11 = 2 x 5 + 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 371 and 614 is 1
Notice that 1 = HCF(2,1) = HCF(11,2) = HCF(13,11) = HCF(115,13) = HCF(128,115) = HCF(243,128) = HCF(371,243) = HCF(614,371) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 846 > 1, we apply the division lemma to 846 and 1, to get
846 = 1 x 846 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 846 is 1
Notice that 1 = HCF(846,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 640 > 1, we apply the division lemma to 640 and 1, to get
640 = 1 x 640 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 640 is 1
Notice that 1 = HCF(640,1) .
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Frequently Asked Questions on HCF of 371, 614, 846, 640 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 371, 614, 846, 640?
Answer: HCF of 371, 614, 846, 640 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 371, 614, 846, 640 using Euclid's Algorithm?
Answer: For arbitrary numbers 371, 614, 846, 640 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.