Highest Common Factor of 9868, 1774 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 9868, 1774 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9868, 1774 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 9868, 1774 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 9868, 1774 is 2.
HCF(9868, 1774) = 2
HCF of 9868, 1774 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9868, 1774 is 2.
Highest Common Factor of 9868,1774 is 2
Step 1: Since 9868 > 1774, we apply the division lemma to 9868 and 1774, to get
9868 = 1774 x 5 + 998
Step 2: Since the reminder 1774 ≠ 0, we apply division lemma to 998 and 1774, to get
1774 = 998 x 1 + 776
Step 3: We consider the new divisor 998 and the new remainder 776, and apply the division lemma to get
998 = 776 x 1 + 222
We consider the new divisor 776 and the new remainder 222,and apply the division lemma to get
776 = 222 x 3 + 110
We consider the new divisor 222 and the new remainder 110,and apply the division lemma to get
222 = 110 x 2 + 2
We consider the new divisor 110 and the new remainder 2,and apply the division lemma to get
110 = 2 x 55 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9868 and 1774 is 2
Notice that 2 = HCF(110,2) = HCF(222,110) = HCF(776,222) = HCF(998,776) = HCF(1774,998) = HCF(9868,1774) .
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Frequently Asked Questions on HCF of 9868, 1774 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 9868, 1774?
Answer: HCF of 9868, 1774 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9868, 1774 using Euclid's Algorithm?
Answer: For arbitrary numbers 9868, 1774 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.