Highest Common Factor of 9250, 4942 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 9250, 4942 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9250, 4942 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 9250, 4942 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 9250, 4942 is 2.
HCF(9250, 4942) = 2
HCF of 9250, 4942 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9250, 4942 is 2.
Highest Common Factor of 9250,4942 is 2
Step 1: Since 9250 > 4942, we apply the division lemma to 9250 and 4942, to get
9250 = 4942 x 1 + 4308
Step 2: Since the reminder 4942 ≠ 0, we apply division lemma to 4308 and 4942, to get
4942 = 4308 x 1 + 634
Step 3: We consider the new divisor 4308 and the new remainder 634, and apply the division lemma to get
4308 = 634 x 6 + 504
We consider the new divisor 634 and the new remainder 504,and apply the division lemma to get
634 = 504 x 1 + 130
We consider the new divisor 504 and the new remainder 130,and apply the division lemma to get
504 = 130 x 3 + 114
We consider the new divisor 130 and the new remainder 114,and apply the division lemma to get
130 = 114 x 1 + 16
We consider the new divisor 114 and the new remainder 16,and apply the division lemma to get
114 = 16 x 7 + 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 9250 and 4942 is 2
Notice that 2 = HCF(16,2) = HCF(114,16) = HCF(130,114) = HCF(504,130) = HCF(634,504) = HCF(4308,634) = HCF(4942,4308) = HCF(9250,4942) .
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Frequently Asked Questions on HCF of 9250, 4942 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 9250, 4942?
Answer: HCF of 9250, 4942 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9250, 4942 using Euclid's Algorithm?
Answer: For arbitrary numbers 9250, 4942 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.