Highest Common Factor of 7739, 4464 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 7739, 4464 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7739, 4464 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 7739, 4464 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 7739, 4464 is 1.
HCF(7739, 4464) = 1
HCF of 7739, 4464 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7739, 4464 is 1.
Highest Common Factor of 7739,4464 is 1
Step 1: Since 7739 > 4464, we apply the division lemma to 7739 and 4464, to get
7739 = 4464 x 1 + 3275
Step 2: Since the reminder 4464 ≠ 0, we apply division lemma to 3275 and 4464, to get
4464 = 3275 x 1 + 1189
Step 3: We consider the new divisor 3275 and the new remainder 1189, and apply the division lemma to get
3275 = 1189 x 2 + 897
We consider the new divisor 1189 and the new remainder 897,and apply the division lemma to get
1189 = 897 x 1 + 292
We consider the new divisor 897 and the new remainder 292,and apply the division lemma to get
897 = 292 x 3 + 21
We consider the new divisor 292 and the new remainder 21,and apply the division lemma to get
292 = 21 x 13 + 19
We consider the new divisor 21 and the new remainder 19,and apply the division lemma to get
21 = 19 x 1 + 2
We consider the new divisor 19 and the new remainder 2,and apply the division lemma to get
19 = 2 x 9 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7739 and 4464 is 1
Notice that 1 = HCF(2,1) = HCF(19,2) = HCF(21,19) = HCF(292,21) = HCF(897,292) = HCF(1189,897) = HCF(3275,1189) = HCF(4464,3275) = HCF(7739,4464) .
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Frequently Asked Questions on HCF of 7739, 4464 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 7739, 4464?
Answer: HCF of 7739, 4464 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7739, 4464 using Euclid's Algorithm?
Answer: For arbitrary numbers 7739, 4464 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.