Highest Common Factor of 770, 64407 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, 64407 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 770, 64407 is 7 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, 64407 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, 64407 is 7.
HCF(770, 64407) = 7
HCF of 770, 64407 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, 64407 is 7.
Highest Common Factor of 770,64407 is 7
Step 1: Since 64407 > 770, we apply the division lemma to 64407 and 770, to get
64407 = 770 x 83 + 497
Step 2: Since the reminder 770 ≠ 0, we apply division lemma to 497 and 770, to get
770 = 497 x 1 + 273
Step 3: We consider the new divisor 497 and the new remainder 273, and apply the division lemma to get
497 = 273 x 1 + 224
We consider the new divisor 273 and the new remainder 224,and apply the division lemma to get
273 = 224 x 1 + 49
We consider the new divisor 224 and the new remainder 49,and apply the division lemma to get
224 = 49 x 4 + 28
We consider the new divisor 49 and the new remainder 28,and apply the division lemma to get
49 = 28 x 1 + 21
We consider the new divisor 28 and the new remainder 21,and apply the division lemma to get
28 = 21 x 1 + 7
We consider the new divisor 21 and the new remainder 7,and apply the division lemma to get
21 = 7 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 770 and 64407 is 7
Notice that 7 = HCF(21,7) = HCF(28,21) = HCF(49,28) = HCF(224,49) = HCF(273,224) = HCF(497,273) = HCF(770,497) = HCF(64407,770) .
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Frequently Asked Questions on HCF of 770, 64407 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, 64407?
Answer: HCF of 770, 64407 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 770, 64407 using Euclid's Algorithm?
Answer: For arbitrary numbers 770, 64407 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
