Highest Common Factor of 607, 848, 338, 901 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 607, 848, 338, 901 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 607, 848, 338, 901 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 607, 848, 338, 901 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 607, 848, 338, 901 is 1.
HCF(607, 848, 338, 901) = 1
HCF of 607, 848, 338, 901 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 607, 848, 338, 901 is 1.
Highest Common Factor of 607,848,338,901 is 1
Step 1: Since 848 > 607, we apply the division lemma to 848 and 607, to get
848 = 607 x 1 + 241
Step 2: Since the reminder 607 ≠ 0, we apply division lemma to 241 and 607, to get
607 = 241 x 2 + 125
Step 3: We consider the new divisor 241 and the new remainder 125, and apply the division lemma to get
241 = 125 x 1 + 116
We consider the new divisor 125 and the new remainder 116,and apply the division lemma to get
125 = 116 x 1 + 9
We consider the new divisor 116 and the new remainder 9,and apply the division lemma to get
116 = 9 x 12 + 8
We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get
9 = 8 x 1 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 607 and 848 is 1
Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(116,9) = HCF(125,116) = HCF(241,125) = HCF(607,241) = HCF(848,607) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 338 > 1, we apply the division lemma to 338 and 1, to get
338 = 1 x 338 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 338 is 1
Notice that 1 = HCF(338,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 901 > 1, we apply the division lemma to 901 and 1, to get
901 = 1 x 901 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 901 is 1
Notice that 1 = HCF(901,1) .
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Frequently Asked Questions on HCF of 607, 848, 338, 901 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 607, 848, 338, 901?
Answer: HCF of 607, 848, 338, 901 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 607, 848, 338, 901 using Euclid's Algorithm?
Answer: For arbitrary numbers 607, 848, 338, 901 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.