Highest Common Factor of 7853, 8424, 70769 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 7853, 8424, 70769 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7853, 8424, 70769 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 7853, 8424, 70769 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 7853, 8424, 70769 is 1.
HCF(7853, 8424, 70769) = 1
HCF of 7853, 8424, 70769 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7853, 8424, 70769 is 1.
Highest Common Factor of 7853,8424,70769 is 1
Step 1: Since 8424 > 7853, we apply the division lemma to 8424 and 7853, to get
8424 = 7853 x 1 + 571
Step 2: Since the reminder 7853 ≠ 0, we apply division lemma to 571 and 7853, to get
7853 = 571 x 13 + 430
Step 3: We consider the new divisor 571 and the new remainder 430, and apply the division lemma to get
571 = 430 x 1 + 141
We consider the new divisor 430 and the new remainder 141,and apply the division lemma to get
430 = 141 x 3 + 7
We consider the new divisor 141 and the new remainder 7,and apply the division lemma to get
141 = 7 x 20 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7853 and 8424 is 1
Notice that 1 = HCF(7,1) = HCF(141,7) = HCF(430,141) = HCF(571,430) = HCF(7853,571) = HCF(8424,7853) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 70769 > 1, we apply the division lemma to 70769 and 1, to get
70769 = 1 x 70769 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 70769 is 1
Notice that 1 = HCF(70769,1) .
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Frequently Asked Questions on HCF of 7853, 8424, 70769 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 7853, 8424, 70769?
Answer: HCF of 7853, 8424, 70769 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7853, 8424, 70769 using Euclid's Algorithm?
Answer: For arbitrary numbers 7853, 8424, 70769 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.