Highest Common Factor of 942, 575, 374 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 942, 575, 374 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 942, 575, 374 is 1 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 942, 575, 374 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 942, 575, 374 is 1.
HCF(942, 575, 374) = 1
HCF of 942, 575, 374 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 942, 575, 374 is 1.
Highest Common Factor of 942,575,374 is 1
Step 1: Since 942 > 575, we apply the division lemma to 942 and 575, to get
942 = 575 x 1 + 367
Step 2: Since the reminder 575 ≠ 0, we apply division lemma to 367 and 575, to get
575 = 367 x 1 + 208
Step 3: We consider the new divisor 367 and the new remainder 208, and apply the division lemma to get
367 = 208 x 1 + 159
We consider the new divisor 208 and the new remainder 159,and apply the division lemma to get
208 = 159 x 1 + 49
We consider the new divisor 159 and the new remainder 49,and apply the division lemma to get
159 = 49 x 3 + 12
We consider the new divisor 49 and the new remainder 12,and apply the division lemma to get
49 = 12 x 4 + 1
We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get
12 = 1 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 942 and 575 is 1
Notice that 1 = HCF(12,1) = HCF(49,12) = HCF(159,49) = HCF(208,159) = HCF(367,208) = HCF(575,367) = HCF(942,575) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 374 > 1, we apply the division lemma to 374 and 1, to get
374 = 1 x 374 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 374 is 1
Notice that 1 = HCF(374,1) .
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Frequently Asked Questions on HCF of 942, 575, 374 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 942, 575, 374?
Answer: HCF of 942, 575, 374 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 942, 575, 374 using Euclid's Algorithm?
Answer: For arbitrary numbers 942, 575, 374 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.