Highest Common Factor of 770, 20622 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, 20622 i.e. 14 the largest integer that leaves a remainder zero for all numbers.
HCF of 770, 20622 is 14 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, 20622 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, 20622 is 14.
HCF(770, 20622) = 14
HCF of 770, 20622 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, 20622 is 14.
Highest Common Factor of 770,20622 is 14
Step 1: Since 20622 > 770, we apply the division lemma to 20622 and 770, to get
20622 = 770 x 26 + 602
Step 2: Since the reminder 770 ≠ 0, we apply division lemma to 602 and 770, to get
770 = 602 x 1 + 168
Step 3: We consider the new divisor 602 and the new remainder 168, and apply the division lemma to get
602 = 168 x 3 + 98
We consider the new divisor 168 and the new remainder 98,and apply the division lemma to get
168 = 98 x 1 + 70
We consider the new divisor 98 and the new remainder 70,and apply the division lemma to get
98 = 70 x 1 + 28
We consider the new divisor 70 and the new remainder 28,and apply the division lemma to get
70 = 28 x 2 + 14
We consider the new divisor 28 and the new remainder 14,and apply the division lemma to get
28 = 14 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 14, the HCF of 770 and 20622 is 14
Notice that 14 = HCF(28,14) = HCF(70,28) = HCF(98,70) = HCF(168,98) = HCF(602,168) = HCF(770,602) = HCF(20622,770) .
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Frequently Asked Questions on HCF of 770, 20622 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, 20622?
Answer: HCF of 770, 20622 is 14 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 770, 20622 using Euclid's Algorithm?
Answer: For arbitrary numbers 770, 20622 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
