Highest Common Factor of 946, 880, 187 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 946, 880, 187 i.e. 11 the largest integer that leaves a remainder zero for all numbers.
HCF of 946, 880, 187 is 11 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 946, 880, 187 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 946, 880, 187 is 11.
HCF(946, 880, 187) = 11
HCF of 946, 880, 187 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 946, 880, 187 is 11.
Highest Common Factor of 946,880,187 is 11
Step 1: Since 946 > 880, we apply the division lemma to 946 and 880, to get
946 = 880 x 1 + 66
Step 2: Since the reminder 880 ≠ 0, we apply division lemma to 66 and 880, to get
880 = 66 x 13 + 22
Step 3: We consider the new divisor 66 and the new remainder 22, and apply the division lemma to get
66 = 22 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 22, the HCF of 946 and 880 is 22
Notice that 22 = HCF(66,22) = HCF(880,66) = HCF(946,880) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 187 > 22, we apply the division lemma to 187 and 22, to get
187 = 22 x 8 + 11
Step 2: Since the reminder 22 ≠ 0, we apply division lemma to 11 and 22, to get
22 = 11 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 11, the HCF of 22 and 187 is 11
Notice that 11 = HCF(22,11) = HCF(187,22) .
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Frequently Asked Questions on HCF of 946, 880, 187 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 946, 880, 187?
Answer: HCF of 946, 880, 187 is 11 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 946, 880, 187 using Euclid's Algorithm?
Answer: For arbitrary numbers 946, 880, 187 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.