Highest Common Factor of 4398, 7754 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 4398, 7754 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4398, 7754 is 2 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 4398, 7754 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 4398, 7754 is 2.
HCF(4398, 7754) = 2
HCF of 4398, 7754 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4398, 7754 is 2.
Highest Common Factor of 4398,7754 is 2
Step 1: Since 7754 > 4398, we apply the division lemma to 7754 and 4398, to get
7754 = 4398 x 1 + 3356
Step 2: Since the reminder 4398 ≠ 0, we apply division lemma to 3356 and 4398, to get
4398 = 3356 x 1 + 1042
Step 3: We consider the new divisor 3356 and the new remainder 1042, and apply the division lemma to get
3356 = 1042 x 3 + 230
We consider the new divisor 1042 and the new remainder 230,and apply the division lemma to get
1042 = 230 x 4 + 122
We consider the new divisor 230 and the new remainder 122,and apply the division lemma to get
230 = 122 x 1 + 108
We consider the new divisor 122 and the new remainder 108,and apply the division lemma to get
122 = 108 x 1 + 14
We consider the new divisor 108 and the new remainder 14,and apply the division lemma to get
108 = 14 x 7 + 10
We consider the new divisor 14 and the new remainder 10,and apply the division lemma to get
14 = 10 x 1 + 4
We consider the new divisor 10 and the new remainder 4,and apply the division lemma to get
10 = 4 x 2 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4398 and 7754 is 2
Notice that 2 = HCF(4,2) = HCF(10,4) = HCF(14,10) = HCF(108,14) = HCF(122,108) = HCF(230,122) = HCF(1042,230) = HCF(3356,1042) = HCF(4398,3356) = HCF(7754,4398) .
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Frequently Asked Questions on HCF of 4398, 7754 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 4398, 7754?
Answer: HCF of 4398, 7754 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4398, 7754 using Euclid's Algorithm?
Answer: For arbitrary numbers 4398, 7754 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
