Highest Common Factor of 770, 480, 610 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 770, 480, 610 i.e. 10 the largest integer that leaves a remainder zero for all numbers.
HCF of 770, 480, 610 is 10 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 770, 480, 610 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 770, 480, 610 is 10.
HCF(770, 480, 610) = 10
HCF of 770, 480, 610 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 770, 480, 610 is 10.
Highest Common Factor of 770,480,610 is 10
Step 1: Since 770 > 480, we apply the division lemma to 770 and 480, to get
770 = 480 x 1 + 290
Step 2: Since the reminder 480 ≠ 0, we apply division lemma to 290 and 480, to get
480 = 290 x 1 + 190
Step 3: We consider the new divisor 290 and the new remainder 190, and apply the division lemma to get
290 = 190 x 1 + 100
We consider the new divisor 190 and the new remainder 100,and apply the division lemma to get
190 = 100 x 1 + 90
We consider the new divisor 100 and the new remainder 90,and apply the division lemma to get
100 = 90 x 1 + 10
We consider the new divisor 90 and the new remainder 10,and apply the division lemma to get
90 = 10 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 10, the HCF of 770 and 480 is 10
Notice that 10 = HCF(90,10) = HCF(100,90) = HCF(190,100) = HCF(290,190) = HCF(480,290) = HCF(770,480) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 610 > 10, we apply the division lemma to 610 and 10, to get
610 = 10 x 61 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 10, the HCF of 10 and 610 is 10
Notice that 10 = HCF(610,10) .
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Frequently Asked Questions on HCF of 770, 480, 610 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 770, 480, 610?
Answer: HCF of 770, 480, 610 is 10 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 770, 480, 610 using Euclid's Algorithm?
Answer: For arbitrary numbers 770, 480, 610 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.