Highest Common Factor of 7769, 8998 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 7769, 8998 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7769, 8998 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 7769, 8998 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 7769, 8998 is 1.
HCF(7769, 8998) = 1
HCF of 7769, 8998 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7769, 8998 is 1.
Highest Common Factor of 7769,8998 is 1
Step 1: Since 8998 > 7769, we apply the division lemma to 8998 and 7769, to get
8998 = 7769 x 1 + 1229
Step 2: Since the reminder 7769 ≠ 0, we apply division lemma to 1229 and 7769, to get
7769 = 1229 x 6 + 395
Step 3: We consider the new divisor 1229 and the new remainder 395, and apply the division lemma to get
1229 = 395 x 3 + 44
We consider the new divisor 395 and the new remainder 44,and apply the division lemma to get
395 = 44 x 8 + 43
We consider the new divisor 44 and the new remainder 43,and apply the division lemma to get
44 = 43 x 1 + 1
We consider the new divisor 43 and the new remainder 1,and apply the division lemma to get
43 = 1 x 43 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7769 and 8998 is 1
Notice that 1 = HCF(43,1) = HCF(44,43) = HCF(395,44) = HCF(1229,395) = HCF(7769,1229) = HCF(8998,7769) .
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Frequently Asked Questions on HCF of 7769, 8998 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 7769, 8998?
Answer: HCF of 7769, 8998 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7769, 8998 using Euclid's Algorithm?
Answer: For arbitrary numbers 7769, 8998 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.