Highest Common Factor of 910, 349, 597, 38 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 910, 349, 597, 38 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 910, 349, 597, 38 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 910, 349, 597, 38 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 910, 349, 597, 38 is 1.
HCF(910, 349, 597, 38) = 1
HCF of 910, 349, 597, 38 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 910, 349, 597, 38 is 1.
Highest Common Factor of 910,349,597,38 is 1
Step 1: Since 910 > 349, we apply the division lemma to 910 and 349, to get
910 = 349 x 2 + 212
Step 2: Since the reminder 349 ≠ 0, we apply division lemma to 212 and 349, to get
349 = 212 x 1 + 137
Step 3: We consider the new divisor 212 and the new remainder 137, and apply the division lemma to get
212 = 137 x 1 + 75
We consider the new divisor 137 and the new remainder 75,and apply the division lemma to get
137 = 75 x 1 + 62
We consider the new divisor 75 and the new remainder 62,and apply the division lemma to get
75 = 62 x 1 + 13
We consider the new divisor 62 and the new remainder 13,and apply the division lemma to get
62 = 13 x 4 + 10
We consider the new divisor 13 and the new remainder 10,and apply the division lemma to get
13 = 10 x 1 + 3
We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get
10 = 3 x 3 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 910 and 349 is 1
Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(13,10) = HCF(62,13) = HCF(75,62) = HCF(137,75) = HCF(212,137) = HCF(349,212) = HCF(910,349) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 597 > 1, we apply the division lemma to 597 and 1, to get
597 = 1 x 597 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 597 is 1
Notice that 1 = HCF(597,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 38 > 1, we apply the division lemma to 38 and 1, to get
38 = 1 x 38 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 38 is 1
Notice that 1 = HCF(38,1) .
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Frequently Asked Questions on HCF of 910, 349, 597, 38 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 910, 349, 597, 38?
Answer: HCF of 910, 349, 597, 38 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 910, 349, 597, 38 using Euclid's Algorithm?
Answer: For arbitrary numbers 910, 349, 597, 38 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.