Highest Common Factor of 4374, 9188 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 4374, 9188 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4374, 9188 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 4374, 9188 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 4374, 9188 is 2.
HCF(4374, 9188) = 2
HCF of 4374, 9188 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4374, 9188 is 2.
Highest Common Factor of 4374,9188 is 2
Step 1: Since 9188 > 4374, we apply the division lemma to 9188 and 4374, to get
9188 = 4374 x 2 + 440
Step 2: Since the reminder 4374 ≠ 0, we apply division lemma to 440 and 4374, to get
4374 = 440 x 9 + 414
Step 3: We consider the new divisor 440 and the new remainder 414, and apply the division lemma to get
440 = 414 x 1 + 26
We consider the new divisor 414 and the new remainder 26,and apply the division lemma to get
414 = 26 x 15 + 24
We consider the new divisor 26 and the new remainder 24,and apply the division lemma to get
26 = 24 x 1 + 2
We consider the new divisor 24 and the new remainder 2,and apply the division lemma to get
24 = 2 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4374 and 9188 is 2
Notice that 2 = HCF(24,2) = HCF(26,24) = HCF(414,26) = HCF(440,414) = HCF(4374,440) = HCF(9188,4374) .
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Frequently Asked Questions on HCF of 4374, 9188 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 4374, 9188?
Answer: HCF of 4374, 9188 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4374, 9188 using Euclid's Algorithm?
Answer: For arbitrary numbers 4374, 9188 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
