Highest Common Factor of 9392, 3550 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 9392, 3550 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9392, 3550 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 9392, 3550 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 9392, 3550 is 2.
HCF(9392, 3550) = 2
HCF of 9392, 3550 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9392, 3550 is 2.
Highest Common Factor of 9392,3550 is 2
Step 1: Since 9392 > 3550, we apply the division lemma to 9392 and 3550, to get
9392 = 3550 x 2 + 2292
Step 2: Since the reminder 3550 ≠ 0, we apply division lemma to 2292 and 3550, to get
3550 = 2292 x 1 + 1258
Step 3: We consider the new divisor 2292 and the new remainder 1258, and apply the division lemma to get
2292 = 1258 x 1 + 1034
We consider the new divisor 1258 and the new remainder 1034,and apply the division lemma to get
1258 = 1034 x 1 + 224
We consider the new divisor 1034 and the new remainder 224,and apply the division lemma to get
1034 = 224 x 4 + 138
We consider the new divisor 224 and the new remainder 138,and apply the division lemma to get
224 = 138 x 1 + 86
We consider the new divisor 138 and the new remainder 86,and apply the division lemma to get
138 = 86 x 1 + 52
We consider the new divisor 86 and the new remainder 52,and apply the division lemma to get
86 = 52 x 1 + 34
We consider the new divisor 52 and the new remainder 34,and apply the division lemma to get
52 = 34 x 1 + 18
We consider the new divisor 34 and the new remainder 18,and apply the division lemma to get
34 = 18 x 1 + 16
We consider the new divisor 18 and the new remainder 16,and apply the division lemma to get
18 = 16 x 1 + 2
We consider the new divisor 16 and the new remainder 2,and apply the division lemma to get
16 = 2 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9392 and 3550 is 2
Notice that 2 = HCF(16,2) = HCF(18,16) = HCF(34,18) = HCF(52,34) = HCF(86,52) = HCF(138,86) = HCF(224,138) = HCF(1034,224) = HCF(1258,1034) = HCF(2292,1258) = HCF(3550,2292) = HCF(9392,3550) .
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Frequently Asked Questions on HCF of 9392, 3550 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 9392, 3550?
Answer: HCF of 9392, 3550 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9392, 3550 using Euclid's Algorithm?
Answer: For arbitrary numbers 9392, 3550 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
