Highest Common Factor of 948, 85948 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 948, 85948 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 948, 85948 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 948, 85948 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 948, 85948 is 4.
HCF(948, 85948) = 4
HCF of 948, 85948 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 948, 85948 is 4.
Highest Common Factor of 948,85948 is 4
Step 1: Since 85948 > 948, we apply the division lemma to 85948 and 948, to get
85948 = 948 x 90 + 628
Step 2: Since the reminder 948 ≠ 0, we apply division lemma to 628 and 948, to get
948 = 628 x 1 + 320
Step 3: We consider the new divisor 628 and the new remainder 320, and apply the division lemma to get
628 = 320 x 1 + 308
We consider the new divisor 320 and the new remainder 308,and apply the division lemma to get
320 = 308 x 1 + 12
We consider the new divisor 308 and the new remainder 12,and apply the division lemma to get
308 = 12 x 25 + 8
We consider the new divisor 12 and the new remainder 8,and apply the division lemma to get
12 = 8 x 1 + 4
We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get
8 = 4 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 948 and 85948 is 4
Notice that 4 = HCF(8,4) = HCF(12,8) = HCF(308,12) = HCF(320,308) = HCF(628,320) = HCF(948,628) = HCF(85948,948) .
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Frequently Asked Questions on HCF of 948, 85948 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 948, 85948?
Answer: HCF of 948, 85948 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 948, 85948 using Euclid's Algorithm?
Answer: For arbitrary numbers 948, 85948 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.