Highest Common Factor of 350, 610, 55 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 350, 610, 55 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 350, 610, 55 is 5 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 350, 610, 55 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 350, 610, 55 is 5.
HCF(350, 610, 55) = 5
HCF of 350, 610, 55 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 350, 610, 55 is 5.
Highest Common Factor of 350,610,55 is 5
Step 1: Since 610 > 350, we apply the division lemma to 610 and 350, to get
610 = 350 x 1 + 260
Step 2: Since the reminder 350 ≠ 0, we apply division lemma to 260 and 350, to get
350 = 260 x 1 + 90
Step 3: We consider the new divisor 260 and the new remainder 90, and apply the division lemma to get
260 = 90 x 2 + 80
We consider the new divisor 90 and the new remainder 80,and apply the division lemma to get
90 = 80 x 1 + 10
We consider the new divisor 80 and the new remainder 10,and apply the division lemma to get
80 = 10 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 10, the HCF of 350 and 610 is 10
Notice that 10 = HCF(80,10) = HCF(90,80) = HCF(260,90) = HCF(350,260) = HCF(610,350) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 55 > 10, we apply the division lemma to 55 and 10, to get
55 = 10 x 5 + 5
Step 2: Since the reminder 10 ≠ 0, we apply division lemma to 5 and 10, to get
10 = 5 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 10 and 55 is 5
Notice that 5 = HCF(10,5) = HCF(55,10) .
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Frequently Asked Questions on HCF of 350, 610, 55 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 350, 610, 55?
Answer: HCF of 350, 610, 55 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 350, 610, 55 using Euclid's Algorithm?
Answer: For arbitrary numbers 350, 610, 55 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.