Highest Common Factor of 9778, 4137 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 9778, 4137 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9778, 4137 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 9778, 4137 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 9778, 4137 is 1.
HCF(9778, 4137) = 1
HCF of 9778, 4137 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9778, 4137 is 1.
Highest Common Factor of 9778,4137 is 1
Step 1: Since 9778 > 4137, we apply the division lemma to 9778 and 4137, to get
9778 = 4137 x 2 + 1504
Step 2: Since the reminder 4137 ≠ 0, we apply division lemma to 1504 and 4137, to get
4137 = 1504 x 2 + 1129
Step 3: We consider the new divisor 1504 and the new remainder 1129, and apply the division lemma to get
1504 = 1129 x 1 + 375
We consider the new divisor 1129 and the new remainder 375,and apply the division lemma to get
1129 = 375 x 3 + 4
We consider the new divisor 375 and the new remainder 4,and apply the division lemma to get
375 = 4 x 93 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9778 and 4137 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(375,4) = HCF(1129,375) = HCF(1504,1129) = HCF(4137,1504) = HCF(9778,4137) .
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Frequently Asked Questions on HCF of 9778, 4137 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 9778, 4137?
Answer: HCF of 9778, 4137 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9778, 4137 using Euclid's Algorithm?
Answer: For arbitrary numbers 9778, 4137 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
