Highest Common Factor of 292, 1948, 9632 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 292, 1948, 9632 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 292, 1948, 9632 is 4 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 292, 1948, 9632 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 292, 1948, 9632 is 4.
HCF(292, 1948, 9632) = 4
HCF of 292, 1948, 9632 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 292, 1948, 9632 is 4.
Highest Common Factor of 292,1948,9632 is 4
Step 1: Since 1948 > 292, we apply the division lemma to 1948 and 292, to get
1948 = 292 x 6 + 196
Step 2: Since the reminder 292 ≠ 0, we apply division lemma to 196 and 292, to get
292 = 196 x 1 + 96
Step 3: We consider the new divisor 196 and the new remainder 96, and apply the division lemma to get
196 = 96 x 2 + 4
We consider the new divisor 96 and the new remainder 4, and apply the division lemma to get
96 = 4 x 24 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 292 and 1948 is 4
Notice that 4 = HCF(96,4) = HCF(196,96) = HCF(292,196) = HCF(1948,292) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 9632 > 4, we apply the division lemma to 9632 and 4, to get
9632 = 4 x 2408 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 4 and 9632 is 4
Notice that 4 = HCF(9632,4) .
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Frequently Asked Questions on HCF of 292, 1948, 9632 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 292, 1948, 9632?
Answer: HCF of 292, 1948, 9632 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 292, 1948, 9632 using Euclid's Algorithm?
Answer: For arbitrary numbers 292, 1948, 9632 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.