Highest Common Factor of 374, 607 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 374, 607 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 374, 607 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 374, 607 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 374, 607 is 1.
HCF(374, 607) = 1
HCF of 374, 607 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 374, 607 is 1.
Highest Common Factor of 374,607 is 1
Step 1: Since 607 > 374, we apply the division lemma to 607 and 374, to get
607 = 374 x 1 + 233
Step 2: Since the reminder 374 ≠ 0, we apply division lemma to 233 and 374, to get
374 = 233 x 1 + 141
Step 3: We consider the new divisor 233 and the new remainder 141, and apply the division lemma to get
233 = 141 x 1 + 92
We consider the new divisor 141 and the new remainder 92,and apply the division lemma to get
141 = 92 x 1 + 49
We consider the new divisor 92 and the new remainder 49,and apply the division lemma to get
92 = 49 x 1 + 43
We consider the new divisor 49 and the new remainder 43,and apply the division lemma to get
49 = 43 x 1 + 6
We consider the new divisor 43 and the new remainder 6,and apply the division lemma to get
43 = 6 x 7 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 374 and 607 is 1
Notice that 1 = HCF(6,1) = HCF(43,6) = HCF(49,43) = HCF(92,49) = HCF(141,92) = HCF(233,141) = HCF(374,233) = HCF(607,374) .
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Frequently Asked Questions on HCF of 374, 607 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 374, 607?
Answer: HCF of 374, 607 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 374, 607 using Euclid's Algorithm?
Answer: For arbitrary numbers 374, 607 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.